Question

determine the AP whose 3rd term is 0 and 7th term is 8 ​

Answer 1

-4,-2,0,2,4,6,8....is the AP

Answer 2

Answer:

a=-4 and d=2.

Step-by-step explanation:

$t3 = 0 \\ a + (3 - 1)d = 0 ...(1)\\ a + 2d = 0 \\ t7 = a + (7 - 1)d = 8 \\ a + 6d = 8...(2) \\ equate \: (1) \: an \\ d \: (2)\\ 2d - 6d = 0 - 8 \\ - 4d = - 8 \\ d = 2 \\ now \: sub \: in \: eqn1 \\ a + 2(2) = 0 \\ a = - 4. \\ d = 2.$