If the $n^{t h}$ term of a sequence is $100 n + 10$ , then the sequence is

An A. P.

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A G.P.

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A constant sequence

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Neither A.P. nor G.P.

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Solution

The correct option is A An A. P.
We are give $t_{n} = 100 n + 10$
$t_{n - 1} = 100 n - 100 + 10$
Now $t_{n} - t_{n - 1} = 100 n + 10 - 100 n + 100 - 10 = 100 = constant$
Since the difference between two terms remains constant the given series is an A.P

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