Question

The numbers 28, 22, 'x', 'y', 4 are in arithmetic progression. What are the respective values of 'x' and 'y'?
A) 10, 16 B) 20, 18 C) 18, 16 D) 16, 10

Answer 1

common difference is equal to 28 minus 22 is equal to 6
so x is equal to 22 minus 6 is equal to 16
Y is equal to 16 minus 6 is equal to 10

Answer 2

Answer:

x = 16 and y = 10.

Step-by-step explanation:

Given:- Numbers in A.P. are 28, 22, x, y, 4

To Find:- Values of x and y.

Solution:-

A.P. is 28, 22, x, y, 4.

First term = 28, common difference = 22 - 28 = -6

As we know, if First term = a , common difference = d, then

Second term = a + d,

Third term = a + 2d

Fourth term = a + 3d.

In this series, x is the 3rd term, so

x = a + 2d

  = 28 + 2 × (-6)

  = 28 - 12

  = 16

In the given series, y is the 4th term, so

y = a+ 3d

  = 28 + 3 × (-6)

  = 28 - 18

  = 10

Hence the value of x = 16 and y = 10.

Therefore the series becomes 28, 22, 16, 10, 4.

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