Question

The next term that follows 214 in the sequence
4, 4, 10, 28, 64, 124, 214, .... is​

Answer 1

Answer:

The next number of the given series is 340.

This can be solved by the common difference method.

4 - 4 = 0 , 10 - 4 = 6, 28 - 10 = 18, 64 - 28 = 36, 124 - 64 = 60, 214 - 124 = 90.

Then,

6 - 0 = 6, 18 - 6 = 12, 36 - 18 = 18, 60 - 36 = 24, 90 - 60= 30.

Finally,

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

30 - 24 = 6.

So, 214 + (90 + 30 + 6) = 214 + 126 = 340.

Therefore, the series is 4, 4, 10, 28, 64, 124, 214, 340.

Answer 2

Step-by-step explanation:

i think its 294.... i'm not sure