BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter F, Problem 27E
To determine

To find: The value of the sum i=04(2i+i2).

Expert Solution

Answer to Problem 27E

The value of the sum i=04(2i+i2) is 61.

Explanation of Solution

Definition used:

If am,am+1,...,an are real numbers and m and n are integers such that mn, then i=mnai=am+am+1+am+2++an1+an.

Calculation:

By the above definition, the sum i=04(2i+i2) expressed as follows.

i=04(2i+i2)=(20+02)+(21+12)+(22+22)+(23+32)+(24+42)=(1+0)+(2+1)+(4+4)+(8+9)+(16+16)=1+3+8+17+32=61

Thus value of the sum i=04(2i+i2) is 61.

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