The sum 1 + 2 + 3 + 4 + ⋯ + 10 in sigma notation.

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 11E
To determine

To write: The sum 1+2+3+4+⋯+10  in sigma notation.

Expert Solution

The sum 1+2+3+4++10 expressed in sigma notation as i=110i.

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 1+2+3+4++10 expressed as follows.

Here, the sum 1+2+3+4++10 is the sum of first 10 natural numbers.

Thus, it can expressed as 1+2+3+4++10=i=110i.

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