Question

the sum of the 2nd and the 11th term is 30.also ,the sum of the 7th and 19th term is 56.find the common difference​

Answer 1

Answer:

2

Step-by-step explanation:

Given,

a2 + a11 = 30.

That is,

(a+d) + (a+10d) = 30.

2a + 11d = 30 .......... (1)

Also,

a7 + a19 = 56.

That is,

(a+6d) + (a+18d) = 56.

2a + 24d = 56 ........ (2)

(2) - (1) ===>

13d = 26.

d = 26/13 = 2.

Therefore,

Common difference (d) = 2.

Hope this helps !!!!!