Question

2. If 3rd and 9th find terms of an A.P. are 4 and - 8
(1)
respectively. Then the 10th term of the A.P.​

Answer 1

Step-by-step explanation:

a+2d=4_____1

a+8d=-8_____2

2-1

4d=-12

d=-3,a=16

a+9d=16-9(12)

=-94

Answer 2

Step-by-step explanation:

Let the first term be a and common difference is d. if 3rd and 9th terms of an A.P. are 4 and -8 => (a+2d)= 4 and (a+8d)= -8.

(a+8d)-(a+2d)= -8-4 =>6d= -12=>d= -2. Substitute d= -2 in (a+2d)= 4=>(a-4)=4 =>a=8

The 10th term of the A.P. =>(a+9d)=>(8-2×9) => -10. Hope it helps you.