Insert 4 A.M.s between 4 and 19. - Vidyadip

Question

Insert 4 A.M.s between 4 and 19.

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Answer

Let $A_1, A_2, A_3, A_4$ be the four A.M.s between 4 and 19. Then, $4, A_1, A_2, A_3, A_4, 19$ are A.P of 6 terms $A_n=a+(n-1) d$ $a_6=19=4+(6-1) d$ or $d=3$.....(1) Now, $A_1=4+d=4+3=7 A_2=4+2 d=4+6=10 A_3=4+3 d=4+9=13$ $A_4=4+4 d=4+12=16$ The 4 A.M.s between 4 and 19 are $7,10,13,16$.

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