Question

1 of 3

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Enter the next 3 terms from the geometric sequence below.
3, 6, 12,...
T4= 0 T5 = 0 T6 = O

Answer 1

24, 48, 96

Explanation:

to find the next term in a geometric sequence, multiply the previous term by the common ratio r

r =
`(a_(2) )/(a_(1) )` =
`(6)/(3)` = 2 , then

a₄ = a₃ × 2 = 12 × 2 = 24

a₅ = a₄ × 2 = 24 × 2 = 48

a₆ = a₅ × 2 = 48 × 2 = 96

the next 3 terms are 24, 48, 96