Class 10 Maths Chapter 5

10th Maths Arithmetic Progression Important Questions

Important Questions of Class 10 Maths

# The common difference of two different arithmetic progressions are equal.The first term of the first progression is 3 more than the first term ofsecond progression. If the 7 th term of first progression is 28 and 8 th term of second progression is 29, then find the both different arithmetic progressions

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Let the first term of second AP = a

So, the first term of first AP = a + 3

7th term of first progression is 28

So, A + 6D = 28

⇒ a + 3 + 6D = 28

⇒ a + 6D = 25 … (1)

8th term of the second progression is 29

⇒ a + 7D = 29 … (2)

Solving (1) and (2), we have

D = 4 and a = 1

So, the first AP: 4, 8, 12 …

And the second AP: 1, 5, 9…