The missing number in the series 1, 4, 27,____, 3125 is: 81 35 729 256 115

hexacordoK

hexacordoK

Answered question

2021-06-15

The missing number in the series 1, 4, 27,____, 3125 is: 81 35 729 256 115

Answer & Explanation

casincal

casincal

Skilled2021-06-16Added 82 answers

Given series:
1,4,27,?,3125
We note that 4 is the square of 2, while 27 is the third power of 27 and 3125 is the fifth power of 5:
11,22,33,?,55
Thus we note that the nth term in the sequence appears to be the nth power of n. That is, an=nn when an represents the nth term in the sequence.
This then implies that we expect the fourth term in the sequence to be 44.
a4=44=256

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