Answer :
Notice that
5 - 3 = 2
11 - 5 = 6
29 - 11 = 18
and these differences form a geometric sequence,
{2, 6, 18, ...} = {2×3⁰, 2×3, 2×3², ...}
so a reasonable guess for the next number in the sequence might be 2×3³ = 54.
The sequence might be 2×3^3^3 = 54.
We notice that 5 - 3 = 2
11 - 5 = 6
29 - 11 = 18
and these differences form a geometric sequence,
What is the geometric sequence?
A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
{2, 6, 18, ...} = {2×3^0, 2×3^1, 2×3^3, ...}
So the next number in the sequence might be 2×3^3 = 54.
To learn more about the geometric sequence visit:
https://brainly.com/question/1509142
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