Determine the AP whose third term is 16 and the 7^thterm exceeds the 5^thterm by 12.

Question

Determine the AP whose third term is 16 and the 7 th term exceeds the 5 th term by 12.

Philoid · Accepted Answer

Given

a₃ = 16; a₇ = a₅ + 12

a + (7-1) d = a + (5-1) d +12

2d = 12

d = 12

Common difference (d) = 12

Substituting value of d in a₃

a₃ = 16

a + (3-1) d = 16

a + 2 (6) = 16

a = 4

∴ The series will be a, a+d, a+2d, a+3d,….

4, 10, 16, 22,…

Determine the AP whose third term is 16 and the 7thterm exceeds the 5thterm by 12.