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  • The sum of the 7 terms of an AP is 63 and that of its next 7 terms is 161. Find the AP.           <div

The sum of the 7 terms of an AP is 63 and that of its next 7 terms is 161. Find the AP.

 

 

 

 

 
 
 
 
 

Answers (1)

\\\frac{7}{2}(2a+6d)=63\\\\or\\\\2a+6d=18.......(1)\\\\\\\frac{14}{2}(2a+13d)=161+63\\\\7(2a+13d)=224\\\\2a+13d=32...........(2)\\\\(2)-(1)\ implies\\\\7d=14\\d=2.

Substitute the value of d in 1 implies

a=3

so the AP is 3,5,7.......

Posted by

Safeer PP

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