Find whether -150 is a term of A.P. 17,12,7,2....
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Given:
The term = - 150
A.P Series = 17,12,7,2
To Find:
Whether - 150 is part of the A.P series
Solution:
For the A.P. series given,
a = 17
d = 12-17
= -5
Finding, nth term of A.P
= a + (n-1)d
Substituting the values -
= 17 + (n-1)(-5) = -150
= (n-1) (-5) = -150 -17
= (n-1)(-5) = -167
n-1 = 167/5
n = 167/5 + 1
n = 172/5 or 34.4
Now, n is not a natural number.
Answer: The term -150 is not a part of the given A.P. series
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