Question

Determine an AP whose third term is 9 and when the fifth term is subtracted from eighth term, we get 6​

Answer 1

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Answer 2

Answer:

a=5 and d = 2

Step-by-step explanation:

a3 = a +2d = 9 ............(1)

a8 - a5 = 6

(a +7d) - (a+4d) = 6

a + 7d - a -4d = 6

3d=6

d=2...............(2)

substituting d=2 in (1)

a3 = a+2×2=9

a=9-4=5

∴a=5

AP = 5,7,9,11,13....