Suppose that an is an infinite series with partial sum S√ = 8 - 2 N2 10 10 16 What are the values of an and Σan? n=1 n=5 (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the sum does not exist.) W Σa n=1 an = 00 16 Σan = n=5 n=1 a3 = What is the value of a3? (Give an exact answer. Use symbolic notation and fractions where needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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Suppose that an is an infinite series with partial sum Sµ = 8
n=1
10
16
Σ 4, and £4,
n=1
n=5
(Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the sum does not exist.)
What are the values of Σan and
10
Σ
n=1
an =
16
Σ an =
n=5
2
N²
Σan?
Az =
What is the value of a3?
(Give an exact answer. Use symbolic notation and fractions where needed.)
Transcribed Image Text:Suppose that an is an infinite series with partial sum Sµ = 8 n=1 10 16 Σ 4, and £4, n=1 n=5 (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the sum does not exist.) What are the values of Σan and 10 Σ n=1 an = 16 Σ an = n=5 2 N² Σan? Az = What is the value of a3? (Give an exact answer. Use symbolic notation and fractions where needed.)
Find a general formula for an.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
an =
Find the sum Σ an.
n=1
(Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the series does not converge.)
M8
Σ Σ
n=1
∞
an
=
Transcribed Image Text:Find a general formula for an. (Express numbers in exact form. Use symbolic notation and fractions where needed.) an = Find the sum Σ an. n=1 (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if the series does not converge.) M8 Σ Σ n=1 ∞ an =
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