Question

Write the nth term of the following sequence in terms of the first term of the sequence.. 1, 8, 15, 22, . . .

Answer 1

1 + 7 ( n - 1 )

Explanation:

Hope this helps

Answer 2

The Given sequence is : 1,8,15,22,.....

As, difference of two consecutive terms is same,which is =7, so it is an arithmetic progression.

First term = a=1

Common difference(d) = Second term - first term = Third term - Second term

= 8 -1 or 15-8

= 7

nth term of the Sequence
`(a_(n))`

= a + (n-1)× d

= 1 + (n-1)× 7

= 1 + 7 n - 7

= 7 n -6