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Question
For the following arithmetic progressions write the first term a and the common difference d:
−5, −1, 3, 7, ...
Solution
In the given problem, we need to write the first term (a) and the common difference (d) of the given A.P
−5, −1, 3, 7 …
Here, the first term of the given A.P is (a) = −5
Now, we will find the difference between the two terms of the given A.P
`a_2 - a_1 = -1 - (-5)`
`a_2 - a_1 = 4`
Similarly
`a_3 - a_2 = 3 - (-1)`
`a_3 - a_2 = 4`
`a_4 - a_3 = 7 - 3`
`a_4 - a_3 = 4`
As `a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = 4`
Therefore, the first term of the given A.P is `a = -5` and the common difference of the given is d = 4
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