Which term of the AP 3, 8, 13, 18,... is 88?

Question:

Which term of the AP 3, 8, 13, 18,... is 88?

Solution:

In the given AP, first term, a = 3 and common difference, d = (8 - 3) = 5.

Let's its nth term be 88.
Then Tn = 88
⇒ a + (n - 1)d = 88
⇒ 3 + (- 1) ⨯ 5 = 88
⇒ 5n - 2 = 88
⇒ 5n = 90
⇒ n = 18
Hence, the 18th term of the given AP is 88.

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Isabell Percy
Feb. 10, 2023, 5:55 p.m.
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