Math, asked by genius259298, 1 year ago

5,23,121,617...? Series complete


Grimmjow: 3109 is the answer
genius259298: Give reason please
Grimmjow: 5^2 - 2 = 25 - 2 = 23 and 5^3 - 2^2 = 125 - 4 = 121 and 5^4 - 2^3 = 625 - 8 = 617 and 5^5 - 2^4 = 3125 - 16 = 3109

Answers

Answered by VemugantiRahul
1
Hi there!
Here's the answer:

•°•°•°•°•°•<><><<><>><><>°•°•°•°•°•°

5 23 121 617 _?_
The given series is of the form:

i term in the series = [5^i] - [2^(i-1)]
where i > 2

•°•°•°•°•°•<><><<><>><><>°•°•°•°•°•°

I term: 5
II term: 5² - 2 = 25 - 2 = 23
III term: 5³ - 2² = 125 - 4 = 121
IV term: 5⁴ - 2³ = 625 - 8 = 617
V term: (5^5) - 2⁴

i.e., 3125 - 16 = 3109

•°•°•°•°•°•<><><<><>><><>°•°•°•°•°•°

•°• Next No. in the series = 3109

•°•°•°•°•°•<><><<><>><><>°•°•°•°•°•°

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:)
Hope it helps
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