Question

Two arithmetic progressions has the same common difference. If the first term of the first progression is 3 and that of the other is 8, then the difference between their 3rd term is​

Answer 1

Given : Two arithmetic progression has the same common difference.

 the first term of the first progression is 3 and that of the other is 8,

To Find : the difference between their 3rd term is​

Solution:

first term of the first progression is 3

Common difference = d

3 , 3 + d , 3 + 2d , _________

3rd term = 3 + 2d

first term of the 2nd progression is 8

Common difference = d   as same common difference.

8 , 8 + d , 8 + 2d , _________

3rd term = 8 + 2d

Difference = (3 + 2d) - ( 8 + 2d)  = -5

-5 is  the difference between their 3rd term is​

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Answer 2

Step-by-step explanation:

First AP Second AP

A³=a+2 d. A³=a+2d

8+2d. -3+2d

8+2d-3+2d

8-3

A³=5