Question

Which term of the AP:-
3,8,13,18,......,is 78?
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Answer 1

Answer:

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Explanation:

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Answer 2

$\huge\fcolorbox{black}{aqua}{Solution.}$

The given AP is

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

Here, a = 3

d = 8 – 3 = 5

Let the nth term of the AP be 78.

Then, aₙ = a + (n – 1) d

78 = 3 + ( n – 1) (5)

78 – 3 = (n – 1) 5

75 = 5 (n – 1)

5(n –1) = 75

$n - 1 = \frac{75}{5}$

n – 1 = 15

n = 15 + 1

n = 16

Hence, 16th term of the AP is 78.