Question

What comes next in this series?
2, 3, 5, 8, 13, 21, 34, 55,​

Answer 1

${\underline{\underline{\red{\sf{Given:}}}}}$

• A number series is given to us i.e. 2,3,5,8,13,21,55.....

${\underline{\underline{\red{\sf{To\:Find}}}}}$

• The next term of the series.

${\underline{\underline{\red{\sf{Step\:by\:step\: explanation:}}}}}$

Given series to us is 2,3,5,8,13,21,34,55.

Now this can be written as

2 , 3 , 3+2 , 5+3 , 8+5 ,........21+34 ,..

Hence it is clear that that the first and second term are added to make the third term . Similarly second and third are added to make fourth term and so on the number series continues.

So ,the next term in given series will be (55+34) = 89.

Hence the next term will be 89.

Some more examples:

• The series is 1,4,9,16,25.......In this series next term will be 36. Here each consecutive number is squared to obtain next term.

• The series is 2,3,5,8,12,17..... In this series each number is added by 1,2,3,4.. to obtain next term .So here next term will be (17+6)= 23.

Answer 2

Explanation:

hope it helps u

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