Question

in ap t4+t8=24
t6+t10=44
then tn=?
​

Answer 1

Answer:

It may be 68.

I am not sure about the answer.

Answer 2

Explanation:

t4+t8=24

t4=a+3d,t8=a+7d

=>a+3d+a+7d=24

=>2a+10d=24

=>a+5d=12-equation1

t6+t10=44

t6=a+5d,t10=a+9d

=>a+5d+a+9d=44

=>2a+14d=44

=>a+7d=22-equation2

equation2-equation1

a+7d=22

(-)a+5d=12

________

2d=10

=>d=10÷2

=>d=5

put d in equation 1

a+5d=12

a+5(5)=12

a+25=12

a=12-25

a=-13

tn=a+(n-1)d

=-13+(n-1)5

=-13+5n-5

=5n-18

therefore ,tn=5n-18