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What is the next number of the following sequence - 36, 117, 166, 335, 360, 441, ??

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What is the next number of the following sequence - 36, 117, 166, 335, 360, 441, ??
posted Jul 11, 2016 by anonymous

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1 Answer

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The series starts with
36 => 3+6 = 9
36 + 9^2 = 117. => 2nd term
Next
Taking just the last digit of the 2nd term 7 and squaring it and adding it to the same
117 + 7^2 = 166 => 3rd term

Again for the 4th term 1+6+6 = 13
=> 166 + 13^2 = 335 => 4th term

And for 5th term taking the last digit 5
335 + 5^2 = 360.

Taking this logic forward for the required term
441 + 1^2 = 442 .

answer Jul 12, 2016 by Tejas Naik
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