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Chapter 12: Q. 253 (page 1217)

In the following exercises, expand the partial sum and find its value.

鈭�i=172i-5

Short Answer

Expert verified

The partial sum is21.

Step by step solution

01

Step 1. Given information.

The given expression is,

鈭�i=172i-5.

02

Step 2. Finding the partial sum.

Now, to expand the partial sum we will substitute 1,2,3,4,5,6,and 7respectively and then simplify.

鈭�i=172i-5=21-5+22-5+23-5+24-5+25-5+26-5+27-5=2-5+4-5+6-5+8-5+10-5+12-5+14-5=-3-1+1+3+5+7+9=21

Therefore, the partial sum is21.

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Most popular questions from this chapter

Determine if each sequence is geometric. If so indicate the common ratio.

鈸� 鈭�150,鈭�30,鈭�15,鈭�5,-52,0,鈥�

鈸� 5,10,20,40,80,160,鈥�

鈸�8,4,2,1,12,14,鈥�

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 exercises, write the first five terms of each geometric sequence with the given first term and common ratio.

a1=27andr=13

In the following exercises, determine if each sequence is arithmetic, and if so, indicate the common difference.

13,9,5,1,鈭�3,鈭�7,.....

Find the fifth term of(a+b)8
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