Question

Write the next term of the following number series......15,29,56,108,205,400......(1) 756(2)768(3)758(4)770

Answer 1

HELLO FRIENDS ,
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Option 3) 758 is the next term of the following number series.
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Best of luck ;)
ROYALJATT

Answer 2

Answer:

Option 2 - 768

Step-by-step explanation:

Given : Series 15,29,56,108,205,400.

To find : Write the next term of the following number series?

Solution :

We try to figure out the pattern in which the series run,

$2^0\times 15 - 0\times 0 = 15$

$2^1\times 15 - 1\times 2^0 = 29$

$2^2\times 15 - 2\times 2^1 = 56$

$2^3\times 15 - 3\times 2^2 = 108$

$2^4\times 15 - 4\times 2^3 = 208$

$2^5\times 15 - 5\times 2^4= 400$

$2^6\times 15 - 5\times 2^5= 768$

Therefore, The next number is 768.

So, Option 2 is correct.