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Permutations And Combinations
Which term of an A.P. 5, 2, -1, ......... is -22?
The given A.P. is: 5, 2, - 1,...............
Here a = 5, d = 2 - 5 = -3
Let -22 be the nth term
∴ or a + (n - 1)d = -22
or 5 + (n - 1) (-3) = -22 or 5 - 3n + 3 = -22
or 8 - 3n = -22 or 3n = 8 + 22
or 3n = 30 or n = 10
∴ -22 is the 10th term.
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Determine K, so that K + 2, 4K – 6 and 3K – 2 are three consecutive terms of an A.P.
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