Write the first five terms of the geometric sequence in which a_1=64 and the common ratio is 5/4
The first term, a_1, is given as 64, and the common ratio, r, is 5/4.
The general formula for the terms of a geometric sequence is a_n = a_1 * r^(n-1), where "a_n" represents the nth term.
Using this formula, we can find the first five terms of the sequence:
a_1 = 64
a_2 = a_1 * r^(2-1) = 64 * (5/4)^(1) = 64 * 5/4 = 80
a_3 = a_1 * r^(3-1) = 64 * (5/4)^(2) = 64 * (25/16) = 100
a_4 = a_1 * r^(4-1) = 64 * (5/4)^(3) = 64 * (125/64) = 125
a_5 = a_1 * r^(5-1) = 64 * (5/4)^(4) = 64 * (625/256) = 156.25
The first five terms of the geometric sequence are: 64, 80, 100, 125, 156.25