Question

Find the second term and nth term of an A.P. whose 6th term is 12and 8th term is 22​

Answer 1

Step-by-step explanation:

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

a

6

=12⇒a+5d=12 ...(1)

a

8

=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, a

2

=a+d=−13+5=−8 and

a

n

=a+(n−1)d

=−13+(n−1)×5

=5n−18