Check weather -150 is a term of the A.P : 11,8,5,2....
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Check whether -150 is a term of the A.P : 11,8,5,2....
The given sequence is 11, 8, 5, 2,.... –151. Hence, 55th term is number –151.
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The given A.P. is 11, 8, 5, 2,
Here, a = 11, d = 8 – 11 = -3
Let the nth term of the given A.P. be -151. Then, tn = – 151
Since, tn = a + (n – 1)d
∴ -151= 11 + (n – 1)(-3)
∴ -151 – 11 =(n – 1)(-3)
∴ -162 = (n – 1)(-3)
∴ n – 1 = -162/-3
∴ n – 1 = 54
∴ n = 54 + 1 = 55
∴ 55th term of the given A.P. is -151.
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