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

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-1)× d

                                    = 1 + (n-1)× 7

                                   = 1 + 7 n - 7

                                  = 7 n -6

20

step-by-step explanation: