Question

Determine the 25th term of an ap whose 9th term is -6 and common difference is 5/4

Answer 1

Step-by-step explanation:

Question : Determine the 25th term of an ap whose 9th term is -6 and common difference is 5/4

Answer : see the above photo

mark as brainliest answer

Answer 2

Given,

In a given A.P.;

Ninth term = A9 = -6

Common difference = d = 5/4

To find,

The 25th term of the A.P.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

For an A.P. with the first term a and common difference d, its n-th term can be represented as;

n-th term of the A.P.= An = a + (n-1)d

Now, as per the question;

9th term of the A.P. = -6

=> a + 8d = -6

=> a + 8(5/4) = -6

=> a + 10 = -6

=> a = -16

Now,

The 25th term of the A.P.

= a + 24d

= -16 + 24(5/4)

= -16 + 30

= 14

Hence, the 25th term of the A.P. is equal to 14.