Question

Find the next term in the series 3 5 9 17 33

Answer 1

Hey there !!!!!!!!

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3 5 9 17 33

5-3 = 2¹

9-5= 4 = 2²

17-9 = 8 =2³

33-17 = 16 = 2⁴

As we can observe that difference between successive terms is increasing in form of 2ⁿ So if "x" is next term 

then 

x-33= 2⁵

x= 32+33

x= 65

65 is the next term of given series 

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Hope this helped you....................

Answer 2

The next term will be 65.