Mathematics
If the last term of A.P. 5, 3, 1, -1, …. is -41, then the A.P. consists of
46 terms
25 terms
24 terms
23 terms
AP GP
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Answer
Here, a = 5, d = 3 - 5 = -2.
Let nth term be -41, so an = -41.
We know that
an = a + (n - 1)d
∴ -41 = 5 + (n - 1) × (-2)
⇒ -41 = 5 - 2n + 2
⇒ 7 - 2n = -41
⇒ 2n = 7 + 41
⇒ 2n = 48
⇒ n = 24.
Hence, Option 3 is the correct option.
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