Question

If x, 8, 11, y are the consecutive terms of an Arithmetic progression.

The values of ‘x’ and ‘y’ are respectively equal to

A. 6 and 13 B. 4 and 15

C. 3 and 16 D. 5 and 14​

Answer 1

Answer:

Answer is D

Step-by-step explanation:

5 and 14 option D

Answer 2

The values of ‘x’ and ‘y’ are respectively equal to D. 5 and 14

Given :

x, 8, 11, y are the consecutive terms of an Arithmetic progression

To find :

The values of ‘x’ and ‘y’ are respectively equal to

A. 6 and 13

B. 4 and 15

C. 3 and 16

D. 5 and 14

Solution :

Step 1 of 2 :

Find common difference

Here it is given that x, 8, 11, y are the consecutive terms of an Arithmetic progression

First term = x

Second Term = 8

Third term = 11

Fourth term = y

We know that for a given arithmetic progression Common difference is the difference between two consecutive terms in the arithmetic progression

So the common difference

= d

= Third term - Second Term

= 14 - 11

= 3

Step 2 of 2 :

Find the value of x and y

First term

= x

= Second Term - Common Difference

= 8 - 3

= 5

Second Term = 8

Third term = 11

Fourth term

= y

= Third term + Common Difference

= 11 + 3

= 14

So the values of ‘x’ and ‘y’ are 5 and 14 respectively

Hence the correct option is D. 5 and 14

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