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Arithmetic progressions

The 17th term of an AP exceeds its 10th term by 7. Find the common difference?

Leena Jain

Hi Leena Jain !
Mark as answer and close

Let 'a' be the first term and 'd' be the common difference of the AP.

     an = a+(n - 1)d

=> a17 = a + (17 - 1)d

=>a17 = a + 16d...........................(1)

and a10 = a + (10 - 1)d

=> a10 = a + 9d...........................(2)

Given, a17 - a10 = 7

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

=> 7d = 7

=>d = 1

Hence, common difference =1

 

     

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