Question

in an A.P. 17th term is 7 more than its 10th term.find the common difference..​

Answer 1

Answer:

D = 1

Step-by-step explanation:

given

a17-a10 = 7

a+16d-(a+9d)=7

a+16d-a-9d=7

7d = 7

D = 1

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Answer 2

Answer:

d= 1

Step-by-step explanation:

Let a_10 be the first term.

a_10 = a_1

Therefore, a_17 = a_8

a_n = a_1+(n-1)d

Substitute n=8 into the equation

a_8 = a_1+(8-1)d

Since the 17th term is 7 more than the 10th term, it follows:

a_8 = a_1+7

a_8 = a_1+(8-1)d

Substitute a_8 = a_1+7 into the equation:

a_1+7 = a_1+(8-1)d

a_1-a_1+7 = 7d

7 = 7d

d= 1