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Common Difference

If |x|, |x-1|...

Question

If |x|, |x-1|, |x+1| are the first three terms of an AP and d is the common difference between them, T(r) is the rth term then, A)T(5)= 9/4 B) d=0.5 C) d=0.25 D) T(10)= 19/4

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Solution

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T_{r}

a

d

m, n

T_{m} = \frac{1}{n}

T_{n} = \frac{1}{m}

a - d =

T_{r}

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m, n, m \neq n, T_{m} = \frac{1}{n}

T_{n} = \frac{1}{m}

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T_{r}

r

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m, n, m \neq n, T_{m} = \frac{1}{n}

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Question 4 (x)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(x) a, 2a, 3a, 4a …

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