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nth Term of an AP

Which two num...

Question

Which two numbers come next in the sequence?
0 2 7 9 26 28 ? ?
(1) 63, 65
(2) 36, 39
(3) 36, 49
(4) 56, 63

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Solution

The given sequence i.e., 0 2 7 9 26 28 can be rewritten as
1 -1 1 + 1 8 - 1 8 + 1 27 - 1 27 + 1
or 1³ - 1 1³+ 1 2³- 1 2³+ 1 3³- 1 3³+ 1
Thus, the next terms in the series are 4³ - 1 and 4³ + 1 = 64 - 1 and 64 + 1 = 63 and 65

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Find the odd one out of the following and give reasons.

$(a) \frac{4}{- 9} (b) \frac{- 16}{36} (c) \frac{- 20}{- 45} (d) \frac{28}{- 63}$

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