Question

if third term of ap is 18 and seventh term of 30 find the series​

Answer 1

a3 = 18. , a+2d=18

a7=30 , a+6d=30

by subtracting eq1 and 2

a+2d=18

a+6d=30

we get-4d = -12.

d = 3

a+2d = 18

a+2×3=18

a+6=18

a =12

a = 12

a2 = a+d =12+3=15

a3 = a+2d =12+2×3=18

a4 = a+3d =12+3×3=21

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