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

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00