Question

determine Ap whose 3rd term is 5 and 10th term is 9

Answer 1

a3 = 5
a+2d = 5

a = 5-2d -----(1)

a10 = 9

a+9d = 9

5-2d+9d = 9

7d= 9 - 5

d = 4/7

a = 5-2d
a = 5-2(4/7)
= 35-8/7
= 27/7

a2 = a+d = 27/7+4/7
= 27+4/7
= 31/7

the AP is

27/7 , 31/7 , 5.. ...




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