A problem by Basukinath Tiwari

Level pending

Find the next in the series: 52, 521, 526, 5213, _


The answer is 52651.

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1 solution

Ameya Salankar
May 17, 2014

The pattern is nothing but the powers of 5 5 written backwards.

i.e. 5 1 = 5 , 5 2 = 25 , 5 3 = 125 , 5 4 = 625 , 5 5 = 3125 , 5^1=5, 5^2=25, 5^3=125, 5^4=625, 5^5=3125, \dots

5 , 52 , 521 , 526 , 5213 , \Rightarrow 5, 52, 521, 526, 5213, \dots

The next power of 5 5 is 5 5 = 15625 5^5= 15625 .

Therefore, the answer is 52651 \boxed{52651} .

You really have a keen sense.

Raven Herd - 7 years ago

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Thanks I just try to create a different thing

Basukinath Tiwari - 7 years ago

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