Question

If 4th and 8th terms of an AP are 11 and 23 respectively, then common difference is​

Answer 1

Answer:

D=3

Step-by-step explanation:

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Answer 2

Given,

4th and 8th terms of an AP are 11 and 23 respectively.

To find,

Common difference of the AP

Solution,

• 4th term of the Arithmetic Progression can be represented as-

        a + 3d = 11

• 8th term of the Arithmetic Progression can be represented as-

        a +7d = 23.

Now,

⇒   a + 3d = 11.

⇒   a = 11 - 3d.

Now, putting the value of a = 11 - 3d in the equation a + 7d =23 is-

⇒   11 - 3d + 7d = 23.

⇒   11 + 4d = 23

⇒   4d = 23 - 11

⇒   4d = 12

⇒   d = 12/4

⇒   d = 3

Hence, the common difference is 3.