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Insert 6 numbers between 3 and 24 so tha...

Insert 6 numbers between 3 and 24 so that the resulting sequence is an A.P.

Text Solution

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Let `A_(1),A_(2),A_(3),A_(4),A_(5), and A_(6)` be 6 numbers between 3 and 24 so that
`3,A_(1),A_(2),A_(3),A_(4),A_(5),A_(6)`, are in A.P.
Here `a=3,n=8,d=?T_(n)=24`
Now `T_(underline(n))=a+(n-1)drArr24=3+(8-1)drArr21=7drArrd=3`
`A_(1)=a+d=3+3=6,A_(2)=6+3=9,A_(3)=9+3=12`
`A_(4)=12+3=15,A_(5)=15+3=18,A_(6)=18+3=21`
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