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The first term of an Arithmetic Progression is 22 and the last term is – 11. If the sum is 66, the number of terms in the sequenceis
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- 10
- 12
- 9
- 8
- 10
Correct Option: B
Let Number of terms = n
First term (a) = 22
Last term (L) = –11
Sum (S) = 66
| ∴ S = | (a + L) | |
| 2 |
| ⇒ 66 = | (22 - 11) | |
| 2 |
| ⇒ 66 = | |
| 2 |
⇒ 11n = 66 × 2
| ⇒ n = | = 12 | |
| 11 |