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Chapter 12: Q 119. (page 1185)

In the following exercises, find each sum.

鈭�i=1503i+6

Short Answer

Expert verified

The obtained sum is 4125.

Step by step solution

01

Step 1. Given Information.

Consider the given sum:

鈭�i=1503i+6

02

simplify the sum.

Express the sum and identify the values.

鈭�i=1503i+6=31+6+32+6+33+6+鈰�+350+6=9+12+15+鈰�+156=a1+a2+a3+鈰�+a50

03

Step 3. Find the sum.

Substitute the values in some formula Sn=n2a1+an.

S50=5029+156=25165=4125

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Most popular questions from this chapter

Write the first five terms of the sequence whose general term is an=3n鈭�4

In the following exercises, determine if each sequence is arithmetic, geometric or neither. If arithmetic, indicate the common difference. If geometric, indicate the common ratio.

4,8,12,24,48,96,...

Expand the partial sum and find its value:鈭�i=153i

Find the eleventh term of a sequence where the ninth term is 8 and the common difference is 鈭�3. Give the formula for the general term.

In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.

3,12,48,192,768,3072,...
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