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Question
For the following arithmetic progressions write the first term a and the common difference d:
−1.1, −3.1, −5.1, −7.1, ...
Solution
In the given problem, we need to write the first term (a) and the common difference (d) of the given A.P
−1.1, −3.1, −5.1, −7.1...
Here, the first term of the given A.P is (a) = −1.1
Now, we will find the difference between the two terms of the given A.P
`a_2 - a_1 = -3.1 - (-1.1)`
`a_2 - a_1 = -2`
Similary
`a_3 - a_2 = -5.1 - (-3.1)`
`a_3 - a_2 = -2`
Also
`a_4 - a_3 = -7.1 - (-5.1)`
`a_4 - a_3 = -2`
As `a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = -2`
Therefore the fist term A.P is a = -1.1 and the common difference is `d = -2`
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