Question 4. The 8th term of an AP is 31 and its 15th term is 16 more than 11th term. Find the AP
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Step-by-step explanation:
8th term=31
a+7d=31.....(i)
15th term=16+11th term
a+14d=16+a+10d
=> a+14d-a-10d=16
=> 14d-10d=16
=> 4d=16
=> d=16/4
=> d=4
now from (i)
a+7(4)=31
=> a+28=31
=> a= 31-28
=> a=3
therefore first term a=3 and common difference=4.
The Ap is 3,7,11,15,19,23,27,31,..
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