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If the 17th term of an AP exceeds the 10th term by 7, then the common difference is_____​

User PiousVenom
by
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2 Answers

6 votes

Answer:

The common difference is 1.

Explanation:

17th term = a1 + 16d

10th term = a1 + 9d

So from the given information:

a1 + 16d - (a1 + 9d) = 7

a1 - a1 + 16d - 9d = 7

7d = 7

d = 1.

User Alecxe
by
8.0k points
3 votes

Answer:

a17 = a10 + 7

a + 16d = a + 9d + 7

7d = 7

d = 1

Thus common difference =1

User Waruyama
by
8.3k points

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