Question

Find the next number in the sequence: 1, 7, 33, 159, 785, ..'

Answer 1

Answer:

The Correct answer would be 3911. The next number in the sequence: 1, 7, 33, 159, 785 would be 3911.

Step-by-step explanation:

Given: The series being 1,7,33,159,785.......

To Find: Next term of the sequence.

No, we have to find the upcoming term.

Now, If we take a closer loo, we can interpret a pattern in the series.

7 = 1 + (5)¹ + 1

33 = 7 + (5)² + 1

159 = 33 + (5)³ + 1

785 = 159 + (5)⁴ + 1

We can now easily interfere the pattern which is:

                     Number = Previous Number + (5)ⁿ + 1

Therefore, for the next number = 785 + (5)⁶ + 1

                                                    = 3911

This is  a series with a common pattern in it. Apart from it, we have pretty more different series or sequences like Arithmetic progression(AP), Geometric Progression(GP), etc