Question

in the series 1,6,15,28,45....the next term will be? ​

Answer 1

Answer:

66

Is the answer....

Answer 2

Answer:The given series are:

1, 6, 15, 28, 45, ........

We have to find the value of next number (?) is:

Solution:

The pattern follow:

Previous number + 5, Previous number + 9(5 + 4), Previous number + 13(9 + 4), Previous number + 17(13 + 4), Previous number + 21(17 + 4), .....

6 = 1 + 5 = 6

15 = 6 + (5 + 4)

= 6 + 9 = 15

28 = 15 + (9 + 4)

= 15 + 13 = 28

45 = 28 + (13 + 4)

= 28 + 17 = 45

Similarly,

? = 45 + (17 + 4)

= 45 + 21 = 66

∴ Next number  = 66