   Chapter 13.CR, Problem 44E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

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

# 41-44 Sigma Notation Write the sum without using sigma notation. Do not evaluate. ∑ n = 1 10 n 2 2 n

To determine

The sum of n=110n22n without sigma notation.

Explanation

Approach:

The sum of first n terms of any sequence can be written as summation or sigma notation represented as .

The sigma notation used is as follows,

k=1nak=a1+a2++an (1)

The left hand side is read as sum of ak from k=1 to k=n.

The letter k is the index of summation and replaced by integer 0, 1, 2, …, n.

Calculation:

Consider,

n=110n22n

Expand the sum of n22n from n=1 to n=10 as per the equation (1)

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