Question

if the 6th term is AP is 12 and 8th term is 22 then find its second term​

Answer 1

Step-by-step explanation:

ANSWER

Let a and d be the first term and the common difference of the given AP respectively. Then,

a6

=12⇒a+5d=12 ...(1)

a8

=22⇒a+7d=22 ...(2)

On subtracting (2) from (1), we get

2d=10⇒d=5

Putting d=5 in (1), we get

a=12−5×5=−13

Now, a2

=a+d=−13+5=−8 and

an

=a+(n−1)d

=−13+(n−1)×5

=5n−18

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