Question

if the sum of 3rd and 5th term of an ap is 8 and the sum of the 7th and 13 term is minus 2 then find the 10th term.​

Answer 1

Answer:

-1

Step-by-step explanation:

Sum of 3rd and 5th term = 8

a+2d + a+4d = 8

2a+6d=8

a+3d=4

Sum of 7th and 13 th term= -2

a+6d + a+12d = -2

2a+18d= -2

a+9d = -1

From both eqn= we get .

a+9d= -1

a+3d= 4

________

6d= -5

d= -5/6

a+3d=4

a= 4- 3d= 4- (3*-5/6)

= 13/2

so a=13/2 and d= -5/6

10 th term= a+9d= 13/2 + (9*-5/6)

= 13/2 - 15/2

= -1