Question

if the third term of an ap is 12 and the 7th term is 24 then the 10th term is​

Answer 1

Answer:

a3=a+2d=12

=>a=12-2d........1

a7=a+6d=24

a+6d=24

(12-2d)+6d=24

12+4d=24

4d=12

d=3

subs d in 1

a=12-2d

a=12-2(3)

a=12-6

a=6

a10=a+9d=6+9(3)

a10=6+27

a10=33

hope it helps u.....^_^

Answer 2

The 10th term of A.P is 33.

Step-by-step explanation:

Consider the provided information.

The nth term of an A.P can be calculated by using the formula: $a_n=a + (n - 1)d$

The third term of an ap is 12

Substitute the respective value in the above formula.

$12=a + (3 - 1)d$

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

The 7th term is 24.

$24=a + (7 - 1)d$

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

Subtract equation 1 and 2 as shown:

$12-24=a +2d-(a+6d)$

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

$-12=-4d$

$3=d$

Substitute the value of d in equation 1.

$12=a +2(3)$

$12-6=a$

$a=6$

Now find the 10th.

$a_{10}=6 + (10 - 1)3$

$a_{10}=6 + 27$

$a_{10}=33$

Hence, the 10th term of A.P is 33.

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