Observational Skills 2

Level pending

Find the next term

3 , 21 , 93 , 276 , ? \large\color{#3D99F6} 3,21,93,276,?

729 412 660 655 343 641

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1 solution

Achal Jain
Feb 23, 2017

3 = 1 4 + 1 2 + 1 \large 3 =1^{4} + 1^{2} +1

21 = 2 4 + 2 2 + 2 \large 21= 2^{4}+2^{2} +2

93 = 3 4 + 3 2 + 3 \large 93=3^{4}+3^{2}+3

276 = 4 4 + 4 2 + 4 \large 276=4^{4}+4^{2}+4 , So the next term is

655 = 5 4 + 5 2 + 5 \large\boxed{655}= 5^{4}+5^{2}+5

The general term of series is

n 4 + n 2 + n \large\color{#D61F06} n^{4} +n^{2}+n

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