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Chapter 12: Q 12.52 (page 1191)

Find the sum:

鈭�i=11052i

Short Answer

Expert verified

The sum is equal to10230

Step by step solution

01

Step 1. Given information

It is given that鈭�i=11052i.

02

Step 2. Find the sum.

Consider 鈭�i=11052i

Let a,rdenote the first term and common ratio respectively.

role="math" localid="1645371460934" a=521=10r=52i+152i=2

So,

Sn=a1-rn1-rwhere Snis the sum.

S10=101-2101-2=-101-1024=10230

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Most popular questions from this chapter

Write the first five terms of the sequence where the first term is 7 and the common ratio is r=-3.

In the following exercises, expand each binomial.

(x-2)4

In the following exercises, expand each binomial using Pascal's Triangle.

(x+y)4

Determine if each sequence is arithmetic. If so, indicate the common difference.

(a)鈭�4,4,2,10,8,16,鈥�(b)鈭�3,鈭�1,1,3,5,7,鈥�(c)7,2,鈭�3,鈭�8,鈭�13,鈭�18,鈥�

Write each sum using summation notation: 鈭�2 + 4 鈭� 6 + 8 鈭� 10.
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