Question

Find the next number in this series:- 3,4,8,17,33,(?) The answer is 58 but I need to know how.......anyone?

Answer 1

The given series goes as follows:
3+1²=3+1=4
4+2²=4+4=8
8+3²=8+9=17
17+4²=17+16=33
33+5²=33+25=58

Answer 2

Given : 3 4 8 17 33  

To Find : next term

Solution:

3

3 + 1²  = 3 + 1 = 4

4 + 2² = 4 + 4 = 8

8 + 3² = 8 + 9 = 17

17 + 4² = 17 + 16 = 33

33 + 5² = 33 + 25 = 58

Next term is 58

Logic is

Tₙ₊₁ = Tₙ  + n²    and T₁ = 3

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1 1 1 1 = 82% logic 2 2 2 2 = 80%

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