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Question
Which of the following are arithmetic progressions?
Which of the following are arithmetic progressions?
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Solution
The correct options are
A 2, 3, 4, 5…..
B 9, 8, 7, 6….
D 0, 0, 0, 0....
An arithmetic progression is a sequence of numbers in which each term differs from the preceding term by a constant quantity called the common difference.
In the sequences 2,3,4,5…., 9,8,7,6..., and 0,0,0,0...., the differences between any two consecutive terms of the AP equal 1, -1 and 0 respectively.
Thus, these sequences are arithmetic progressions as well.
In the sequence 0, 1, 4, 9..., the differences between consecutive terms are 1-0, 4-1, 9-4 and so on. Since the differences are unequal, 0,1,4,9.... is not an AP.
A 2, 3, 4, 5…..
B 9, 8, 7, 6….
D 0, 0, 0, 0....
An arithmetic progression is a sequence of numbers in which each term differs from the preceding term by a constant quantity called the common difference.
In the sequences 2,3,4,5…., 9,8,7,6..., and 0,0,0,0...., the differences between any two consecutive terms of the AP equal 1, -1 and 0 respectively.
Thus, these sequences are arithmetic progressions as well.
In the sequence 0, 1, 4, 9..., the differences between consecutive terms are 1-0, 4-1, 9-4 and so on. Since the differences are unequal, 0,1,4,9.... is not an AP.
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