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प्रश्न
Which term of the G. P. 5, 25, 125, 625, … is 510?
उत्तर
Here, t1 = a = 5, r = `"t"_2/"t"_1 = 25/5` = 5, tn = 510
tn = arn – 1
∴ 510 = 5 × 5(n–1)
∴ 510 = `5^((1 + "n" - 1)`
∴ 510 = 5n
∴ n = 10
∴ 510 is the 10th term of the G.P.
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