Question

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Which term of the A.P. 3, 14, 25, 36, … will be 99 more than its 25th term?​

Answer 1

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Which term of the A.P. 3, 14, 25, 36, … will be 99 more than its 25th term?

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Let the required term be nth term, i.e., an

Here, d = 14 – 3 = 11, a = 3

According to the Question, an = 99 + a25

∴ a + (n – 1) d = 99 + a + 24d

⇒ (n – 1) (11) = 99 + 24 (11)

(n – 1) (11) = 11 (9 + 24)

n – 1 = 33

n = 33 + 1 = 34

∴ 34th term is 99 more than its 25th term.

Answer 2

Answer:

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