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Check whether -150 is a term of the AP : 11, 8, 5, 2 . . .

Q : 6     Check whether  \small -150  is a term of the AP :   \small 11,8,5,2...

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Given AP series is 
\small 11,8,5,2...
Here, a = 11
And 
d = a_2-a_1 = 8-11 = -3
Now, 
 suppose -150 is nth term of the given AP
Now, we know that
a_n = a+(n-1)d
\Rightarrow -150 = 11+(n-1)(-3)
\Rightarrow -150- 11=-3n+3
\Rightarrow =n = \frac{161+3}{3}= \frac{164}{3} = 54.66
Value of n is not an integer
Therefore, -150 is not a term of AP \small 11,8,5,2...

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