Find the value of a,b,c such that the numbers a,7,b,23,c are in ap
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Answer:
a= -1 ; b= 15 ; c=31
Step-by-step explanation:
a ,7 ,b ,23 ,c are in A.P.
Let a be the first term of the A.P. and d be its common difference.
a=a................(1)
a+d=7...........(2)
a+2d=b........(3)
a+3d=23......(4)
a+4d=c.........(5)
On solving equation (2) and (4) we get a= -1 and d= 8
and on putting the values of a and d in equation (3) and (4) we get
b= 15 and c= 31
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