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Question
For the following arithmetic progressions write the first term a and the common difference d:
0.3, 0.55, 0.80, 1.05, ...
Solution
0.3, 0.55, 0.80, 1.05, ...
Here, first term of the given A.P is (a) = 0.3
Now, we will find the difference between the two terms of the given A.P
`a_2 - a_1 = 0.55 - 0.3`
`a_2 - a_1 = 0.25`
Similarly,
a_3 - a_2 = 0.80 - 0.55
a_3 - a_2 = 0.25
Also
`a_3 - a_3 = 1.05 - 0.80`
`a_4 - a_3 = 0.25`
As `a_2 - a_1 = a_3 - a_2 = a_4 - a_3 = 0.25`
Therefore the first term od A.P. is a = 0.3 and the commmon differece is d= 0.25
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