Question

Find the missing
no. In the following series :2, 7,17,32,52,77,?

Answer 1

Answer:

107

Step-by-step explanation:

The difference between 2 consecutive numbers increases by 5 every time

i.e,

Difference between 2nd and 1st number = 5 (7 - 2 = 5)

Difference between 3rd and 2nd number = 10 (17 -7 = 10)

Difference between 4th and 3rd number = 15 (32 - 17 = 15)

Difference between 5th and 4th number = 20 (52 - 32 = 20)

Difference between 6th and 5th number = 25 (77 - 52 = 25)

So

Difference between 7th and 6th number = 25+5=30 (Increase of 5 from the last difference -> Last difference is 25)

So last 7th number is 30 more than 6th number

=> 7th number = 77 + 30

= 107