Find the sum of terms

Algebra Level 2

Find x x .

9 + 18 + 36 + 72 + + 9437184 = x 9+18+36+72+\cdots+9437184=x

Note that the left hand side of the equation represents the sum of a geometric progression.


The answer is 18874359.

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1 solution

X X
Apr 20, 2018

9 + 18 + 36 + 72 + . . . + 9437184 = x , 18 + 36 + 72 + 144... + 18874368 = 2 x 9+18+36+72+...+9437184=x,18+36+72+144...+18874368=2x ,subtract them and get x = 18874368 9 = 1887459 x=18874368-9=1887459 (To make sure, 9437184 = 2 20 × 9 9437184=2^{20}\times9 )

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