Insert six A.M.s between 15 and −13. - Vidyadip

Question

Insert six A.M.s between $15$ and $−13$.

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Answer

Let $A_1, A_2, A_3, A_4, A_5, A_6$, be the seven 6 A.M.s between 15 and -13 . Then, $15 A_1, A_2, A_3, A_4, A_5, A_6,-13$ are in A.P. of 8 terms Here, $-13=15+7 d \Rightarrow d-4=-4 A_1=15+d=15+(-4)=11 A_2=15+2 d=15+(-8)=7 A_3=15+3 d=$ $15+(-12)=3 A_4=15+4 d=15+(-16)=-1 A_5=15+5 d=15+(-20)=-5 A_6=15+6 d=15+(-24)=-9$ The 6 A.M.S between 15 and -13 are $11,7,3,-1,-5$ and -9

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