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12 , 35 , 81 , 173 , 357 , \Large \color{#D61F06}{12}, \ \color{#EC7300}{35}, \ \color{#20A900}{81}, \ \color{#3D99F6}{173}, \ \color{#69047E}{357}, \ldots

781 683 725 567

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4 solutions

Achille 'Gilles'
Oct 19, 2015

12 + 23 x 2^0 = 35

35 + 23 x 2^1 = 81

81 + 23 x 2^2 = 173

173 + 23 x 2^3 = 357

so the next one are:

357 + 23 x 2^4 = 725

725 + 23 x 2^5 = 1461

...

or

12 x 2 + 11 = 35

35 x 2 + 11 = 81

81 x 2 + 11 = 173

173 x 2 + 11 = 357

so the next one are:

357 x 2 + 11 = 725

725 x 2 + 11 = 1461

...

I found only the 11 factor, but was ok anyway

Eduardo Sorkin - 5 years, 7 months ago

Excellent!

Robert Lucas - 5 years, 7 months ago

gud ...to see the differ ans. gud man ..

deepak sondal - 5 years, 7 months ago
Deepak Sondal
Oct 15, 2015

The differences between terms are doubling:

23 , 46 , 92 , 184 23,46,92,184

so the next term will be 357 + 2 184 = 725. 357+2\cdot 184 = 725.

We can also notice that the series follows the following pattern

12*2+11=35

35*2+11=81

81*2+11=173

173*2+11=357

and the next number will be

357*2+11=725

Roberto Passos
Oct 19, 2015

35 x 3 - (12 x 2) = 81

81 x 3 - (35 x 2) = 173

173 x 3 - (81 x 2) = 357

357 x 3 - (173 x 2) = 725

That was how I found the number :)

Sadasiva Panicker
Oct 20, 2015

12,12+23=35, 35+46=81, 81+92=173, 173+184=357, 357+368=725

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