Question

Find the x and y in ap: x 13 y 3

Answer 1

Step-by-step explanation:

Answer:

The value of x and y are 18 and 8 respectively.

Given:

The AP x, 13 , y , 3 are in ap.

To find:

The value of x and y

Solution:

In an AP, the series is a, a+d, a+2d and so on,

where t_{1}t

1

= a,t_{2}t

2

= a + d, t_{3}t

3

= a+2d

\mathrm{t}_{2}-\mathrm{t}_{1}=\mathrm{t}_{3}-\mathrm{t}_{2}=\mathrm{t}_{4}-\mathrm{t}_{3}t

2

−t

1

=t

3

−t

2

=t

4

−t

3

Substituting the values of series in the above formula,

13 – x = y – 13 = 3 – y

Consider the second and third equivalents,

y – 13 = 3 – y

2y = 16

y = 8

Substitute y = 8 in the equation,

13 – x = 8 - 13

13 – x = - 5

X = 18