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Chapter 12: Q 73. (page 809)

In Problems 71-82, find the sum of each sequence.

鈭�k=140k

Short Answer

Expert verified

The sum of this sequence is 820.

Step by step solution

01

Step 1. Write the given information.

The sum of sequence:鈭�k=140k;k=1,...,40

02

Step 2. Use the formula for sum of sequence of n real numbers. 

The formula for summation is:鈭�kk=1n=1+2+...+n鈬�鈭�kk=1n=n(n+1)2

03

Step 3. Use the formula with c=k and n=40.

Using the formula gives:

鈭�kk=140=40脳(40+1)2鈬�鈭�kk=140=40脳(41)2鈬�鈭�kk=140=16402鈬�鈭�kk=140=820

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Most popular questions from this chapter

In Problems 17鈥�28, write down the first five terms of each sequence.

an=nn+2

In Problems 71-82, find the sum of each sequence.

鈭�k=1408

In Problems 71-82, find the sum of each sequence.

鈭�k=840(-3k)

In Problems 37鈥�50, a sequence is defined recursively. Write down the first five terms.

a1=A;an=an-1+d

In Problems 11鈥�16, evaluate each factorial expression.

5!8!3!
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