Respuesta :

texaschic101
to find the common ratio, divide the 2nd term by the 1st term
(3/10) / (3/4) = 3/10 * 4/3 = 12/30 = 2/5 <==

In a geometric sequence, the next term is found by multiplying the term by the common ratio.
3/25 * 2/5 = 6/125 <==
6/125 * 2/5 = 12/625 <==
12/625 * 2/5 = 24/3125 <==
abidemiokin

The next three terms of the sequence are 6/125, 12/625 and 24/3125

Geometric sequence

The nth term of a geometric sequence is given as:

Tn = ar^n-1

Given the geometric sequence

3/4,3/10,3/25,...

Find the common ratio

r = 3/10 * 4/3

r = 2/5

Find the 4th, 5th and 6th terms

T4 = (3/4)(2/5)^3
T4 = 3/4 * 8/125
T4 = 6/125

T5 = (3/4)(2/5)^4
T5 = 3/4 * 16/625
T5 = 12/625

T6 = (3/4)(2/5)^5
T6 = 3/4 * 32/3125
T6 = 24/3125

Hence the next three terms of the sequence are 6/125, 12/625 and 24/3125

Learn more on geometric sequence here: https://brainly.com/question/1509142

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