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Question

Match the given arithmetic progressions with their common differences.

A
10
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B
1.5
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C
2
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D
0
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Solution

The difference between two consecutive terms of an AP is called as its common difference (d).

Consider the arithmetic progression 10, 20, 30.
We have d=2010=3020=10.

For the AP 1.5, 3, 4.5, we have
d=31.5=1.5.

Similarly, for the AP -2, 0, 2, we have
d=0(2)=2.

And, for the AP -1, -1, -1, the common difference is given by
d=1(1)=0.

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