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

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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