Question

2 3 5
9 17 33
65 129 ?

Answer 1

Answer:

What are the next two numbers in this sequence 5, 9, 17, 33, 65, ___?

We can solve this series by two methods

First Method:

by looking carefully at the differences between adjacent numbers are multiples of 4 and getting doubled each time after one another i.e. 4,8,16,32,64,128

First term: 5

Second term: 9= 5+4

Third term : 17=9+8

Fourth term: 33=17+16

Fifth term: 65=33+32

Sixth term: 65+64=129 this is our answer

Seventh Term: 129+128=257

Second Method:

In this series 2n-1 algorithm satisfies,

n is the previous number for calculating next term

First term: 5

Second term: 2(5)-1=9

Third term: 2(9)-1=17

Fourth term: 2(17)-1=33

Fifth term: 2(33)-1=65

Sixth term: 2(65)-1=129 this is our answer

Seventh Term: 2(129)-1=257

Explanation:

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