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Mama L [17]
3 years ago
11

1, 1, 4, 8, 9 , ?, 16, 64

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:

Missing number ⇒ 27

Step-by-step explanation:

Given sequence is:

1, 1, 4, 8, 9 , ?, 16, 64

We need to find the missing number of the sequence.

Solution:

We can see the series consist numbers 1, 2, 3, 4, 5.. of power 2 and 3 each respectively. So, the series is 1^{2},1^{3},2^{2},2^{3},3^{2},3^{3}..... such that

1 = 1^{2}\\1=1^{3}\\ 4=2^{2}\\\ 8=2^{3}\\\ 9=3^{2}\\\ 27=3^{3}------missing \ number\\\ 16=4^{2}\\\ 64=4^{3}

Therefore, missing number is 3^{3}= 27

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