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Chapter 12: Q 74. (page 809)

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

鈭�(-k=124k)

Short Answer

Expert verified

The sum of this sequence is (-300).

Step by step solution

01

Step 1. Write the given information. 

The sum of sequence:鈭�(-k=124k).

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=24.

Using the formula gives:

鈭�(-k)k=124=-鈭�(k)k=124鈬�-鈭�(k)k=124=-24脳(24+1)2鈬�-鈭�kk=124=-24脳(25)2鈬�-鈭�kk=124=-300

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