Question

is series 7, 10, 14, 19,...an A.P.? Give reason.​

Answer 1

Step-by-step explanation:

common difference is not equal so it's not a AP

Answer 2

The common diffetrences are not equal, the given series are not in AP.

Step-by-step explanation:

The given arithmetic series (AP) are:

7, 10, 14, 19, .........

Here, first term (a) = 7 and

Common difference(d) = Second term - First term = Third term - Second term

∴ d = Second term - First term = 10 - 7 = 3 and

d = Third term - Second term = 14 - 10 = 4

∵ Second term - First term ≠ Third term - Second term

⇒ 3 ≠ 4

The common diffetrences are not equal, the given series are not in AP.

Hence, the common differences are not equal, the given series are not in AP.