Harmonic Sequence, Harmonic Mean and Harmonic Series
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- čas přidán 5. 08. 2024
- A harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms.
Kudos to this Teacher he's really good at emphasizing things and how he explain it is very clear and easy to understand i hope this man can keep teaching kids who feel difficult at learning their academics
You're videos are interesting, they're easy to understand and not hard to follow. When i'm watching khan academy or organic chemistry tutor I get a little confused, so thank you for the lesson I wish you make a video about power series.
You're a lifesaver sir! God bless!
Nahuhuli na kase ako sa mga lesson Kaya napunta ako dito salamat kuya na gets ko po agad
Thank you, Sir. God bless!
You really Are A Blessing to out Country Thanks u🥺😊💞
hello sir. can i ask u what this mean "how many multiples of a given number between two given numbers"
Sir Pablo Thank you po bilis ko po na gets mga tinuro mo😊❤
Hey sir do we reall need to get the a sub 2 to find the a sub 1?
Thank you, Sir.
Happy 112k subcriber sir dati huling abot ko mga 48k siguro ngayon nandito napo kayo madami napong sumosuporta sainyo keep it up.❤️💪
Sana po may tutorial kayo ng measure of position (grouped data) 😄galing nyo po mag turo Sir 👍❤️
Tysm for this Sir your videos are very helpful 🥰😁
Excuse me, Sir. I just want to ask about the example number 1 in the Harmonic Mean, the "2 (3) (3/7)" part. You said the answer was 21/7, right? But how did you get that, Sir? I do not want to sound offensive, but...
2×3= 6
6×7= 42
42-3= 39
I am just a bit confused, Sir.
Good evening sir, your an excellent teacher sir but, can i ask you about the 2nd example you've discussed? where did you get the -1/5? (Problem: 2. Find the 5th term of the harmonic sequence if A sub 2 = -2/9 and A sub 7 = - 1/2)
It is to cancel the coefficient in the d so you have to divide it by -1/5 since we are finding the value of d
Hello sir😊
I think there is a mistake in example number 2 because (the 5th term or A sub 5 =-7/18) therefore, the 5th term in the harmonic sequence is equal to -18/7.
👉here is my solution sir plss correct me if I'm wrong😊
first i get the common difference(d):
A sub 7 = (A sub 2) + 5d
-1/2 = -2/9 + 5d
-1/2+2/9 = 5d
-5/18=5d
(-5/18)÷5= (5d)÷5 😁we need to divide both side by 5 para macancel iyong 5 na kasama ni d(common difference) upang iyong d nalang ang matitira sa kabila
-1/18=d🤗
since, i already got the d
let's find the 5th term
A sub 5= (A sub 2) + 3d
= -2/9 + 3(-1/18)
= -2/9 + (-3/18)
= -7/18 then i get the 5th term in the harmonic sequence by getting the reciprocal of it, -18/7👈
Excuse me sir in the ex. No.2 of a harmonic sequence Y is in that in the solution
5/2=5 why did the 5 or 5/1 was made into a receprocal
Hi sir!tanong lang po,bakit 120 po yung LCD sa harmonic series?paano mo po yun nakuha?
nandri solla ennaka vartha ila ......
romba thanks nanba 👍👍👍👍
Thank you so muchhh sirrr
Thank you po sir❤. Sana po sa next topic ano naman po SOLVE PROBLEMS IN A SEQUENCE. Salamat po ulet😊
Sa November pa Math namin sir and I'm a grade 10 student na nagbabalak mag STEM laking tulong po ng mga video nyo for me.
stem pa
@@eict-cgabrielsuajico6899 stem pa (2) HAHAH
Magsisisi ka
Can someone help me to how to solvequadratic inequalities
x² + 18 ≤ -11x
Pls
Hi sir! Congrats po sa 100k subs!! 🥰😭🥺🌸⭐️nasa 2nd quarter na po kasi ako and lesson ko pa direct variation ask ko lang for clarifications. What if hindi sinabe nung equation kung nasaan dun yung x or y na value para hanapin yung constant of variation ano po gagawin ko?
Sana makita niyo po ito. THANK YOU PO!!!
Example: if 5 pencils cost ₱75, find the cost of 25 pencils.
(formula) y=kx san po diyan ang x at y??
Can I ask, kung ang hinahanap po ay common difference ng harmonic sequence, kailangan po bang i-reciprocal ng sagot?
Thank you sir❤️
Thank you sir
thank you po sir!
keep it up sir
Present sir❤️
abt the sum of h, how po naging 120 ung lcd if plus, i have tried to multiply them pero mataas masyado so im confused pano naging 120
Thank you sou much po
Thank you sir♥️🤟
welcome
pashare din sa classmates ha
sir. can I ask where did you get the 120? I didn't get it po
me as well.
ang gandanaman
I can't understand why 6 in 7th term? Can you please elaborate🙂
i guess it is because he forgot to put (n-1) on the formula, and why 6? it is because asub7 = asub1 + (7-1) 6d
same goes for the first equation : asub2 = asub1 + (2-1) d. why d only? because 2-1 = 1, and 1 is not supposed to be on the side of variables, so that's why 1 became d (same goes for other variables)
remember that the formula for arithmetic sequence is always :
asubn = asub1 + (n-1) d
keep on learning : )
sarap ng tulog ko dito
salamat mo senior pablo ito po ung matagal ko nang hinahanap na topic.
HI
welcome Kath
pashare din sa classmates mo ha
@ OK PO
Hi kath! Taga Lapu-Lapu City ka? Rudinas?
@@barang73 ndi tga cebu ako cebuhay mo ayieee lalake ako user name ko lang ang kath.
Hello sir pano mopo nakuha ang 120 as LCD po?
Baka boss Pablo yan💗
question po paano mahanap yung lcd?
Hello, sir. I like your videos and you're such a good teacher! But I just wanna ask where did you get the -1/5 in your second example where you're subtracting the equation?? Thank you so much.
Reciprocal ata nung -5 sa -5d Kaya -⅕.
MPE, para matira ung (d) at malaman mo na ung value nun. Para matira ung variable, need mo imultiply un sa reciprocal niya. For ex. ung 7d, reciprocal ng 7 is 1/7, kapag nagmultiply sila 1d ang sagot or d. Dapat mong imlutiply sa equation is ung reciprocal ng number na katabi ng variable ng need mong value. Tapos siyempre imultiply mo rin ung kabilang part ng eq.
can you make a video about linear equation??
Sir bakit po 120 ang lcd?
👏👏👏
thank you!!
welcome princess
I wish u we're our teacher rn:(((
Pang 11 ko na 'to sa playlist na jusko makakalimutin na yata ako pero yung mga formula sa arithmetic, geometric, at harmonic ay hindi ko maalala kung naituro ba TT
huhu ikaw nalang sana teacher namim
Paano po naging 120 common denaminator? dunsa harmonic series?
Seym question HAHAHAHAHAHAHAHA
What to do if walang common difference
senior pablo nahihirapan po ako sa factoring quadtric trinomial d ko po sya magets pwede po gumawa po kayo ng tutorial doon ? ni recommend ka po ng classmate ko eh kaya po lumapit na lang po ako sa channel na to po
sir? request po ng tutorial para sa fibonacci sequence, thank you po
meron napo
13:05 sana all nahahanap yung value uy
How to find the nth term for harmonic sequence me ganun po kasing word problem sa book kopo nag hahanda ako para sa exam ko this comming tuesday
SIR PAREQUEST NAMAN PO NG RATIONAL ROOT THEOREM, TYIA. ㅠ__ㅠ
Sir gawa din kayo video.para sa pendulum
anong grade po ito sir
Sir sunod po dapat tagalog Yung pag papaliwanag hehehehehe
anggaling niyo po sir pero pano po nakuha yung lcd na 120 sa harmonic series po tanong lang. naguguluhan po kase ako e. salamat po sa sasagot
For the denominators (2, 4, 6, 8, 10) the least common multiple (LCM) is 120.
Therefore, the least common denominator (LCD) is 120.
sir pablo sanyo po nakuha yung -1/5 8:16
Sana ol magaling sa math😭🥺 pero salamat narin sayo sir kasi medyo na intindihan ko yung lesson namin😅❤️ BTW ang galing niyo sa math
Sunod naman po how to get domain and range of a piecewise fucntion
THANKYOUUUU SIR!!! pogi mo huhu pa accept po sa FB hehe GODBLESS POOOO!!!💗💘
THANKYOUUUU SIR SA ACCEPT💛💛💛💛💛💛
@@jeninedawa na accept kona ata Jenine
ayoko na😭😭😭😭
I'm learning math at 1:07 in the morning
patulong naman po....
Find the indicated term for the harmonic sequence a5=3/4, a9=3/13 [second term]
panoi nakuha yung -1/5 wtf
sir pano po naging 120 yung LCD
same question
Same too. I wanna know the answer how sir gets 120.
If you can see i think 2+10 = 12 and 4+8= 12 i think he add 0 kaya nya nakuha yung 120 tama ba?
Least common denominator po ng 2,4,6,8,10 para po makuha yung 120 mag iiskip count kapo seperately per number hanggang mag kamuka napo lahat sila
Minsan iniisip ko kung gagamitin ko toh pag naging bumbero ako 😥
Ano po kaya yung formula ng harmonic series? Hehe. Salamat po! 💚
may mga di ako magets, what if sukuan nlng nating lahat ang math tapos build build nlng ng space ship mag migrate sa pluto
omsim bai kaso kaylangan ng math ang pag build nang spaceship
Sir baka pwede po paruro nung sa Polynomial Equations And Functions po.
Cute mo sir hahahahha
23:40 Pano nakuha ung 120
Same question;(
SUGGEST: GRADE 8 (FACTORING PERFECT SQUARE TRINOMIALS AND GENERAL TRINOMIALS) HIRAP EHH SIR PLSS SIR NEED NG TEAM KO YUNG LESSON
go to grade 8 playlist
MERON PO?
Paano po sir kung nth term lang po ang hinahanap...pls po sir mag bigay po kayo ng ex.nalilito po kasi ako ehh
Ang gulo mag turo haaa
Please, master the lesson first so that the students would easily get what you're teaching. I can see you're having a hard time explaining the lesson.