Can you solve this???? series ii

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FIND THE NEXT THREE TERMS OF THE FOLLOWING SERIES:

2, 3, 5, 8, 13, 22, 39, 72, 137, ___, ___, ___,

Replies (4)

266, 523, 1036. Is it correct??

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YEAH!! ITS CORRECT!!!

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Jiju is this the explanation ?

2 x 2 - 1 = 3

3 x 2 - 1 =5

5 x 2 - 2 = 8

8 x 2 - 3 = 13

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137 x 2 - 8 = 266

266 x 2 - 9 = 523

523 x 2 - 10 = 1036

THE EXPLANATION IS THAT

THE FIRST TERM IS THE SUM OF FIRST NATURAL NUMBER PLUS FIRST FIBONACCI NUMBER..AND SO ON..

1+1

2+1

3+2

4+4

5+8

6+16

7+32

8+64

9+128

10+256

11+512

SO ON..

 


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