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Find the Sum of the First 22 Terms of the A.P.: 8, 3, -2, ……… - Mathematics

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Sum

Find the sum of the first 22 terms of the A.P.: 8, 3, -2, ………

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Solution

The given A.P is 8, 3, -2, .....

Here a = 8, d= 3 - 8 = -5 and n = 22

`∴ S = n/2[2a + (n - 1)d]`

`= 22/2 [2 xx 8 + (22 - 1) xx (-5)]`

`= 11[16 + 21 xx (-5)]`

= 11[16 - 105]

`= 11 xx (-89)`

= - 979

Concept: Arithmetic Progression - Finding Sum of Their First ‘N’ Terms.
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 10 Arithmetic Progression
Exercise 10 (C) | Q 1 | Page 143
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