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Which term of the AP : 3, 8, 13, 18, . . . , is 78.

Question

Which term of the $A P$ : $3, 8, 13, 18, ...,$ is $78$ .

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Henry Discussed

Which term of the

A P

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

78

11 mins ago

Discuss this question LIVE

11 mins ago

Text solutionVerified

Given A.P. is

3, 8, 13, 18, \dots

For the above AP,

a = 3

d = a_{2} - a_{1} = 8 - 3 = 5

Let

n^{t h}

term of this A.P. be

78.

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

\Rightarrow 78 = 3 + (n - 1) 5

\Rightarrow 75 = (n - 1) 5

\Rightarrow (n - 1) = 15

∴ n = 16

Hence,

1 6^{t h}

term of this A.P. is

78.

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