Insert five numbers between 8 and 26 such that the resulting sequ… - Vidyadip

Question

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

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Answer

Let $A_1, A_2, A_3, A_4, A_5$ be five numbers between 8 and 26 . Let $d$ be the common difference. Then, we have: $26=A_7 \Rightarrow$ $26=8+(7-1) d \Rightarrow 26=8+6 d \Rightarrow d=3 A_1=8+d=8+3=11 A_2=8+2 d=8+6=14 A_3=8+3 d=8+9=17$ $A_4=8+4 d=8+12=20 A_5=8+5 d=8+15=23$ Therefore, the five numbers are $11,14,17,20,23$.

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