The 7th term of an arithmetic sequence is 34 and 15th term is 66 then what is the difference

Er Chandra Bhushan
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The 7th term of an arithmetic sequence is 34 and 15th term is 66 then what is the difference

Solution:-given that 7th term of Ap is 34

Means, 

a7=34

a+6d=34 ......... (1) 

Again, 15th term of Ap is 66

a15=66

a+14d=66....... (2) 

From equation 1 and 2

a+6d=34 ......... (1)

a+14d=66....... (2) 

__________________

Finally we get, 

-8d=-32

8d=32

d=4

hence common difference is 4.

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