Question

Complete the series :3,19,41,71,109,?

Answer 1

Answer:

161

Step-by-step explanation:

difference between 3 and 19 is

16

between 19 and 41 it's

22

between 41 and 71 it's

30

between 71 and 109 it's

38

16 is the square of 4

22 is the square of 5 and then 3 is subtracted

30 is the square of 6 and then 6 is subtracted

38 is the square of 7 and then 9 is subtracted

everytime in the square, the subtractions increase by 3.

next will be square of 8 and 12 is subtracted

64 - 12 = 52.

add 52 to 109, answer is 161