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Formula for sum of n terms of an AP

Question 10If...

Question

Question 10
If $17^{t h}$ term of an A.P exceeds its $10^{t h}$ term by 7. Find the common difference.

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Solution

$W e k n o w t h a t, f o r a n A . P ., a_{n} = a + (n - 1) d a_{17} = a + (17 - 1) d a_{17} = a + 16 d S i m i l a r l y, a_{10} = a + 9 d I t i s g i v e n t h a t, a_{17} - a_{10} = 7 (a + 16 d) - (a + 9 d) = 7 7 d = 7 d = 1$
Therefore, the common difference is 1.

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The $17^{t h}$ term of an AP exceeds its $10^{t h}$ term by 7. Its common difference is ___

The $17^{t h}$ term of an AP exceeds its $10^{t h}$ term by 7. The common difference is 2.

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