Question

If the 3 rd term of an AP is 12and
7 th term is 24. then the 10 th
term is​

Answer 1

□Answer□

10th term of AP is 33.

□Explanation□

Tn = a+(n-1)d

We have,

T3 = 12

a+(3-1)d = 12

a+2d = 12 ......(1)

T7 = 24

a+(7-1)d = 24

a+6d = 24 .......(2)

By subtracting Eq (1) from Eq (2), we get:

(a+9d) - (a+2d) = 24 - 12

a+6d-a-2d = 12

4d = 12

d = 3

Now, putting the value of 'd=3' in (1), we get:

a+2×3 = 12

a = 12-6

a = 6

Thus,

T10 = a+(n-1)d

= 6+(10-1)3

= 6+27

= 33

Hence, the tenth term is 33.

Answer 2

Answer:

10th term of AP is 33 I this this may