The first amd third term of an arithmatic progression are x and y respectively. find the sixteenth term of x and y

The sixteenth term is (7.5y - 6.5x).

Step-by-step explanation:

The first term of the A.P. is given to be x and the common difference is assumed to be d.

So, the third term = y = x + (3 - 1)d {Given that the third term is y}

Then, 2d = y - x

⇒

Therefore, the sixteenth term of the A.P. will be = x + (16 - 1)d

=

= x + 7.5y - 7.5x

= 7.5y - 6.5x (Answer)

The sixteenth term is .

Step-by-step explanation:

Given,

And also given,

We have to find out the 16th term of given A.P.

Firstly, we will find out the common difference(d).

Common difference(d) is calculated by given formula.

On putting the values, we get;

Now the value of 'd' is calculated, so we can find out the 16th term by using the formula.

Hence The sixteenth term is .

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step-by-step explanation: