find the next number in the following series 100, 1000,125 ,729 ,150, 512 ,175,.......
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The next number in the following series is 343.
From this series we get two series by taking alternate terms.
100, 125, 150, 175,......
And
1000, 729, 512,......
The first series is an AP in the algebraic formula 25n + 75.
And the second series is downward going of perfect cubes from 10³. (10³, 9³, 8³,......)
As there are 7 terms and the 7th term 175 belongs to first series, 8th term belongs to seconds series.
∴ The answer is 7³ = 343
Thank you.
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