Question

Find the missing number in the sequence 3 , 6 , 11 , 20 , 37 , ? , 135

Answer 1

by taking the difference of succesive terms .we get as 3,5,9,17.then we observe here that by taking again difference of this terms ,it is of two powers.so,our answer is 70.

Answer 2

Answer:

70

Step-by-step explanation:

Let the missing term be x

Difference of terms:

6-3=3

11-6=5

20-11=9

37-20=17

x-37 = y ............(1)

135-x=z...............(2)

difference between the difference of terms:

5-3= 2

9-5 = 4 = 2*2

17-9 = 8 = 2*2*2

hence: y-17 = 2*2*2*2=16

           y=17+16

           y=33

from (1)

            x-37 =33

            x=70