Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120, ...

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.2: Sequences, Series And Summation Notation
Problem 40E: Find the sum of the first five terms of the sequence with the given general term. an=2n+1
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Given the following sequence, provide the (unsimplified) sum of the first 16 terms:
4/5, 4, 20, 120, ...
From your formula sheet (if needed):
Sequences and Series
Arithmetic Sequence
nth term: an = ai + (n-1)d
Sum of the first n terms: Sn = (2ai + (n-1)d] = (a1 + an]
%3D
Geometric Sequence
nth term: gn =
= ar-1
1-r"
a *
Sum of the first n terms =
1-r
= Sn
Transcribed Image Text:Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120, ... From your formula sheet (if needed): Sequences and Series Arithmetic Sequence nth term: an = ai + (n-1)d Sum of the first n terms: Sn = (2ai + (n-1)d] = (a1 + an] %3D Geometric Sequence nth term: gn = = ar-1 1-r" a * Sum of the first n terms = 1-r = Sn
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