Finding Terms of a Sequence Each of Exercises 1-6 gives a formula for the nth term a, of a se- quence {an} . Find the values of a1, a2, a3, and a4. 1 - n 1 2. а, — п! 1. a, = (-1)"+1 3. ал 4. an = 2 + (-1)" 2n - 1 2" 2" – 1 5. а, 6. а, — 2"+1 2"

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 5E
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Finding Terms of a Sequence
Each of Exercises 1–6 gives a formula for the nth term a, of a se-
quence {an}. Find the values of a1, a2, a3, and a4.
1- n
1
1. а, —
n2
2. а,
%3D
п!
(-1)"+1
3. аn
4. a, = 2 + (–1)"
2n - 1
2"
2" – 1
5. аn
6. а, —
2"+1
2"
Transcribed Image Text:Finding Terms of a Sequence Each of Exercises 1–6 gives a formula for the nth term a, of a se- quence {an}. Find the values of a1, a2, a3, and a4. 1- n 1 1. а, — n2 2. а, %3D п! (-1)"+1 3. аn 4. a, = 2 + (–1)" 2n - 1 2" 2" – 1 5. аn 6. а, — 2"+1 2"
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