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Question
Which of the following sequences are A.P.? If they are A.P. find the common difference.
–10, –6, –2, 2,...
Solution
–10, –6, –2, 2...
t1 = -10, t2 = -6, t3 = -2, t4 = 2
d1 = t2 - t1
= -6 - (-10)
= -6 + 10
= 4
d2 = t3 - t2
= -2 - (-6)
= -2 + 6
= 4
d3 = t4 - t3
= 2 - (-2)
= 2 + 2
= 4
d1 = d2 = d3 = 4
The given sequence is an A.P.
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