Question

1,4,9,18,35,?
what the next number?​

Answer 1

Answer:

68

Step-by-step explanation:

1. 4-1=3, 9-4=5, 18-9=9,35-18=17
2. 2^5+1=33
3. 33+35=68

Answer 2

Given:

A series of numbers 1, 4, 9, 18, 35.

To Find:

The next term in the series is?

Solution:

The given problem can be solved by developing a common logic between every term.

1. The given series is 1, 4, 9, 18, 35.

2. The second term in the series is obtained as,

=> Second term = 4 = 1 + 2^1 + 1 = 4. ( First term + 2^1 + 1 )

3. The third term of the series is obtained as,

=>Third term = 9 = 4 + 2^2 + 1 = 9. ( Second term + 2^2 + 1 )

4. The fourth term of the series is obtained as,

=>Fourth term = 18 = 9 + 2^3 + 1 = 18. ( Third term + 2^3 + 1 )

5. The fifth term of the series is obtained as,

=>Fifth term = 35 = 18 + 2^4 + 1 = 35. ( Fourth term + 2^4 + 1 )

6. The sixth term of the series can be obtained using similar logic,

=> Sixth term = Fifth term + 2^5 + 1 = 35 + 32 + 1 = 68.

Therefore, the next number in the series is 68.