SerieOUsLY!

Find the missing term-

144, 529, 1156,?


The answer is 2025.

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3 solutions

Pranjal Jain
Jan 18, 2015

T n = ( 11 n + 1 ) 2 ¨ T_{n}=(11n+1)^2\\ \ddot\smile

Vaibhav Prasad
Feb 16, 2015

12 squared = 144 23 squared = 529 34 squared = 1156

we see 12 + 11 = 23 and 23 + 11= 34 Thus 34 + 11 = 45 And 45 squared = 2025 2025

Naman Kapoor
Jan 18, 2015

Its very simple

144=12^2

529=(12*2-1)^2

1156=(12*3-2)^2

So,

(12*4-3)^2=2025

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