Question

Determine the AP whose 3rd term is 5 and the 7th term is 9 ​

Answer 1

an = a + (n-1) d

5 = a + ( 3 - 1) d ----- 1

9 = a + ( 7 - 1) d ------2

from 1 & 2

5 = a + 2d

9 = a + 6d

eliminating a

-4d = -4

d = 1

put in 1

5 = a + 2

a = 3

AP = 3, 4 (3+1) , 5(4+1) , 6, 7, 8, 9,.........

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