Question

Review

Answer 1

Answer:  $\bold{a)\quad 51, 54, 57\qquad a_n=a_{n-1}+3}$

               $\bold{b)\quad 250, 625, 1562.5\qquad a_n=(2.5)a_{n-1}}$

Step-by-step explanation:

a) This is an arithmetic sequence where 3 is added to the previous term.

48 + 3 = 51

              51 + 3 = 54

                            54 + 3 = 57

The recursive formula for this sequence is:  $a_n = a_{n-1}+3$

*****************************************************************************************

b) This is a geometric sequence where 2.5 is multiplied to the previous term.

100(2.5) = 250

                250 (2.5) = 625

                                    625(2.5) = 1562.5

The recursive formula for this sequence is: $a_n=(2.5)a_{n-1}$