## What is next terms in the series ?

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**What is next terms in the series ?**

Let us solve next number in sequence puzzle

15,29,56,108,208,????

Here 1st term is 15, To find out 2nd term if we multiply the 1st term With 2 and subtract 1 from it, i.e (15 *2) -1 = 29

To find 2nd term we have to multiply the previous term with 2 and subtract 2 (double the previous time) from it

I.e 29*2 - 2 = 56

To find 3rd term we have to multiply the previous term with 4 and subtract 2 (double the previous time) from it

I.e 56*2 - 4 = 108

To find 4th term we have to multiply the previous term with 8 (double the previous time) and subtract 2 from it

I.e 108*2 - 8 = 208

Similarly 5th term can be calculated as

multiply the previous term with 2 and subtract subtract 2 (double the previous time) from it

I.e 208*2 - 16 = 400

Next term 400*2 - 32 = 768

Next term 768*2 - 64 = 1472

Next term 1472*2 - 128 = 2816

Or we can write it in another form as follows

15+(15–

**1**) = 29
29+(29–

**2**) = 56
56+(56–

**4**) = 108
108+(108–

**8**) = 208
208+(208–

**16**) = 400
400+(400–

**32)**= 768
768+(768–64

**)**= 1472
1472+(1472-128) =2816

And similarly this trend follows

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