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Question
For the following arithmetic progressions write the first term a and the common difference d:
`1/5, 3/5, 5/5, 7/5`
Solution
In the given problem, we need to write the first term (a) and the common difference (d) of the given A.P
`1/5, 3/5, 5/5, 7/5`
Here, the first term of the given A.P is (a) = 1/5
Now, we will find the difference between the two terms of the given A.P
`a_2 - a_1 = 3/5 - 1/5`
`a_2 - a_1 = 2/5`
Similarly
`a_3 - a_2 = 5/5 - 3/5`
`a_3 - a_2 = 2/5`
Also
`a_4 - a_3 = 7/5 - 5/5`
`a_4 - a_3 = 2/5`
As `a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = 2/5`
Therefore, the first term of the given A.P is `a = 1/5` and the common difference is `d = 2/5`
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