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Which term of the sequence 1 , - 1 , 1 , - 1 ..........is - 1 ? 2 4 8 16 256
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- 9th
- 8th
- 7th
- 5th
- 9th
Correct Option: B
As per the given question ,
The sequence is : | , - | , | , - | ,.........- | |||||
2 | 2² | 2² | 24 | 28 |
It is a G.P. with common ratio = – 1 / 2
∴ nth term = an = arn – 1
⇒ | = | . | |||
- 256 | 2 | ( -2)n - 1 |
⇒ | = | ||
-27 | ( -2)n - 1 |
Equating on both sides , we get
⇒ n – 1 = 7 ⇒ n = 8