Question

a. Write the first five terms of the arithmetic sequence if the nth term is given by 25+ (n - 1(7)b. Write the first five terms of the geometric sequence if the nth term is given by 36(1)-1 * 3n

Answer 1

a) We have the following arithmetic sequence:

f(n) = 25 + (n - 1)(7)

The first five terms are given by n = 1,2,3,4 and 5. Replace these values of n into the previous formula:

f(1) = 25 + (1 - 1)(7) = 25 + 0 = 25

f(2) = 25 + (2 - 1)(7) = 25 + 7 = 32

f(3) = 25 + (3 - 1)(7) = 25 + 14 = 39

f(4) = 25 + (4 - 1)(7) = 25 + 21 = 46

f(5) = 25 + (5 - 1)(7) = 25 + 28 = 53

Hence, the first terms are 25, 32, 39, 46 and 53