5. Find the formula for the nth term of the sequence: Summing arithmetic sequence (S_n = (a_0+ a_n)*n/2) Summing geometric : |r| < 1, S_n=a_0/(1-r), |r|>1, (a_0-a_(n+1))/(1-r) Special sums: sum(i) = n*(n+1)/2 Sum(i^2) = n(n+1)(2n+1)/6 (a) (ao, a₁, A₂, A3, A4,...) = (-2, 6, -18,54,-162,...) (b) 3,-5, 7, 9, 11, ... (c) 1, 2 4 8 16 9'27'81

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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5. Find the formula for the nth term of the sequence:
Summing arithmetic sequence (S_n = (a_0+ a_n)*n/2)
Summing geometric : |r| < 1, S_n=a_0/(1-r),
Ir>1, (a_0-a_(n+1))/(1-r)
Special sums: sum(i) = n*(n+1)/2
Sum(i^2) = n(n+1)(2n+1)/6
(a) (ao, a₁, A₂, A3, A4,...) = (-2, 6, -18,54,-162,...)
(b) 3,-5, 7, 9, 11, ...
(c) 1,
2
3
4 8 16
9' 27 81
Transcribed Image Text:5. Find the formula for the nth term of the sequence: Summing arithmetic sequence (S_n = (a_0+ a_n)*n/2) Summing geometric : |r| < 1, S_n=a_0/(1-r), Ir>1, (a_0-a_(n+1))/(1-r) Special sums: sum(i) = n*(n+1)/2 Sum(i^2) = n(n+1)(2n+1)/6 (a) (ao, a₁, A₂, A3, A4,...) = (-2, 6, -18,54,-162,...) (b) 3,-5, 7, 9, 11, ... (c) 1, 2 3 4 8 16 9' 27 81
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