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

Q : 4     Which term of the AP :  \small 3,8,13,18,...,  is \small 78 ?
 

Answers (1)

best_answer

Given AP is 
\small 3,8,13,18,...,
Let suppose that nth term of AP is 78
Here, a = 3
And 
d = a_2-a_1 = 8 - 3 = 5
Now, we know that that
a_n = a + (n-1)d
\Rightarrow 78 = 3 + (n-1)5
\Rightarrow 78 -3 = 5n-5
\Rightarrow n = \frac{75 +5}{5}= \frac{80}{5} = 16
Therefore, value of  16th term of given AP is 78 

Posted by

Gautam harsolia

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