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Question
Find 27th and nth term of given A.P. 5, 2, – 1, – 4, ......
Solution
The given A.P. is 5, 2, – 1, – 4, ......
Here, a = 5, d = 2 – 5 = – 3
Since tn = a + (n – 1)d,
tn = 5 + (n – 1)(– 3)
∴ tn = 5 – 3n + 3
∴ tn = 8 – 3n
∴ t27 = 8 – 3(27)
= 8 – 81
= – 73
∴ nth term of the given A.P. is 8 – 3n and 27th term is – 73.
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