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Chapter 12: Q. 50 (page 1174)

In the following exercise, expand the partial sum and find its value

鈭�i=15i3

Short Answer

Expert verified

Hence,

1+8+27+64+125=225

Step by step solution

01

Step 1. Given information

Thepartialsumisgivenas鈭�i=15i3Wehavetoexpandandfindthevalueofthepartialsum.

02

Step 2. Expanding the partial sum

Wesubstitutethevalues1,2,3,4,5inorder鈬�鈭�i=15i3=13+23+33+43+53=1+8+27+64+125

03

Step 3. Calculating the sum

Now,

鈬�鈭�i=15i3=1+8+27+64+125=225

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Most popular questions from this chapter

Write each sum using summation notation: 1 鈭� 4 + 9 鈭� 16 + 25.

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

a1=9andr=2

Write the first five terms of the sequence whose general term isan=2n鈭�5

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

鈸�.7,21,63,189,567,1,701,鈥�

鈸�.64,16,4,1,14,116,鈥�

鈸�.2,4,12,48,240,1,440,鈥�

Write the first five terms of the sequence where the first term is 7 and the common difference isd=-4.
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