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Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

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Chapter
Section
BuyFindarrow_forward

Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

Find the first six terms and the sixth partial sum of the sequence whose n th term is a n = 2 n 2 n .

To determine

The first six terms of the sequence and the sixth partial sum of the sequence

Explanation

Approach:

For the sequence,

a1,a2,...,an

The partial sums are,

S1=a1

S2=a1+a2

Sn=a1+a2+...+an

Given:

The nth sequence is given as,

an=2n2n

Calculation:

Calculate the first term of the sequence.

Substitute 1 for n in the nth sequence to calculate the first term.

a1=2(1)21=1

Calculate the second term of the sequence.

Substitute 2 for n in the nth sequence to calculate the second term.

a2=2(2)22=82=6

Calculate the third term of the sequence.

Substitute 3 for n in the nth sequence to calculate the third term.

a3=2(3)23=183=15

Calculate the fourth term of the sequence

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Chapter 13 Solutions

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