how to find the nth partial sum (arithmetic, geometric, telescoping)
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3 سال پیش
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How to find a formula
How to find a formula for the nth partial sum of a sequence? A general strategy is to compute the first few partial sums and then look for a pattern. Also, remember we have the nth partial sum formula for arithmetic sequences and geometric sequences.
0:00 Q1 nth partial sum of an arithmetic sequence
5:29 Q2 nth partial sum of 1, -1, 1, -1, 1, -1, ...
8:47 Q3 nth partial sum of a geometric sequence
13:14 Q4 nth partial sum of a geometric sequence with a negative common ratio
16:39 Q5 telescoping partial sum
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0:00 Q1 nth partial sum of an arithmetic sequence
5:29 Q2 nth partial sum of 1, -1, 1, -1, 1, -1, ...
8:47 Q3 nth partial sum of a geometric sequence
13:14 Q4 nth partial sum of a geometric sequence with a negative common ratio
16:39 Q5 telescoping partial sum
---------------------------------------------------------
If you find my channel helpful and would like to support, then you can
subscribe by clicking 👉 https://bit.ly/just_calc
support me Patreon: 👉 Patreon: blackpenredpen
buy a math shirt or a hoodie: 👉 https://bit.ly/bprp_merch
"Just Calculus" is dedicated to helping students who are taking precalculus, AP calculus, GCSE, A-Level, year 12 maths, college calculus, or high school calculus. Topics include functions, limits, indeterminate forms, derivatives, and their applications, integration techniques and their applications, separable differential equations, sequences, series convergence test, power series a lot more. Feel free to leave calculus questions in the comment section and subscribe for future videos.
---------------------------------------------------------
Best wishes to you,
#justcalculus
3 سال پیش
در تاریخ 1400/08/07 منتشر شده
است.
30,350
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