For each of the following geometric sequences, state the common ratio and list the next 3 terms.
a) 3, 6, 12, ...
r = _____, next three terms are ______, _______, _______.
b) 6, 2, 2/3, 2/9, ...
r = _____, next three terms are ______, _______, _______.
c) 1/2, -2, 8, ...
r = _____, next three terms are ______, _______, _______.
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Answers & Comments
Verified answer
To find the ratio, divide one term by the term preceding it. 6/3 for example in problem a.
Then multiply the last term given by the ratio.So, for problem a multiply 12 by 2, then 24 by 2, etc.
a) times 2
24
48
96
b) divide by 3
2/27
2/81
2/243
c) multiply by -4
-32
128
-512
a) 2 ... 24...48...96
b) 1/3 .... 2/27..2/81...2/243
c) -4...-32...128...-512