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Question
Which of the following lists of numbers are Arithmetic Progressions? Justify.
(i) 1, 3, 6, 10, ...
(i) 1, 3, 6, 10, ...
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Solution
(i) In the given sequence, we have:
t1 = 1, t2 = 3, t3 = 6 and t4 = 10
Thus, we get:
t2 – t1 = 3 – 1 = 2
t3 – t2 = 6 – 3 = 3
t4 – t3 = 10 – 6 = 4
Because the difference between any two consecutive terms is not constant, the given sequence is not an arithmetic progression.
t1 = 1, t2 = 3, t3 = 6 and t4 = 10
Thus, we get:
t2 – t1 = 3 – 1 = 2
t3 – t2 = 6 – 3 = 3
t4 – t3 = 10 – 6 = 4
Because the difference between any two consecutive terms is not constant, the given sequence is not an arithmetic progression.
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