WHAT'S NEXT ??

Algebra Level 3

Find the next term in the sequence..

3,3,9,9,27,14,81,8,243,..

8 24 9 12

Gaurav Sharma by Gaurav Sharma , 24, India

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1 solution

Gaurav Sharma
Nov 5, 2014

The sequence is increasing powers of 3 followed by the product of the digits.

Eg : 27 is followed by 14 which is the product of 2 and 7.

Therefore the next term of the sequence will be the product of the digits of 243 .

Hence the answer is 24

4 Helpful 0 Interesting 0 Brilliant 0 Confused

As written above by the author, the sequence is a Geometric Progression of ratio 3 followed by the product of the result's digits: \ 3 -> Ratio \ 3 -> Product of the digits of "3" \ 9 = 3 * 3 \ 9-> Product of the digits of "9" \ 27 = 3 * 3 * 3 \ 14 -> Product of the digits of "27" = 2 * 7 \ 81 = 3 * 3 * 3 * 3 \ 8 -> Product of the digits of "81" = 8 * 1 \ 243 = 3 * 3 * 3 * 3 * 3 \ 24-> Product of the digits of "243" = 2 4 * 3 \ Therefore the result is 24*

Josias Blos - 6 years, 7 months ago

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