Missing value

Level 1

11 , 22 , 44 , 77 , 121 , ? \large 11,\ 22,\ 44,\ 77,\ 121,\ ?

Find the last number of the sequence above.


The answer is 176.

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2 solutions

Chew-Seong Cheong
Oct 11, 2016

The n n th term of the sequence is given by a 1 = 11 a_1=11 and a n = 11 ( n 1 ) + a n 1 a_n = 11(n-1)+a_{n-1} for n 2 n \ge 2 . Therefore, a 6 = 11 ( 6 1 ) + 121 a_6 = 11(6-1) + 121 = 55 + 121 = 55 + 121 = 176 = \boxed{176} .

Atul Yadav
Oct 11, 2016

11 2=22 , 11 4 = 44 , 11 7 =77 , 11 11 =121 ,11*16 =176

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