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

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

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Elijah Discussed

Which term of the AP

3, 8, 13, 18, ....

88 ?

15 mins ago

Discuss this question LIVE

15 mins ago

Text solutionVerified

Let

n^{t h}

term is

88

AP is

3, 8, 13, 18, ....

Here,

First term

= a = 3

Common difference

= d = 8 - 3 = 5

nth term of AP is

a_{n} = a + (n - 1) d

Now,

88 = 3 + (n - 1) (5)

88 - 3 = (n - 1) \times 5

n - 1 = 88/5

n = 17 + 1 = 18

Therefore,

88

is the

18

th term.

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