# The value of the sum ∑ i = 4 8 ( 3 i − 2 ) . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

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

#### Solutions

Chapter F, Problem 21E
To determine

## To find: The value of the sum ∑i=48(3i−2).

Expert Solution

The value of the sum i=48(3i2) is 80.

### 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=48(3i2) expressed as follows.

i=48(3i2)=(3(4)2)+(3(5)2)+(3(6)2)+(3(7)2)+(3(8)2)=(122)+(152)+(182)+(212)+(242)=10+13+16+19+22=80

Thus value of the sum i=48(3i2) is 80.

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