Check whether -150 is a term of the AP: 11, 8 | vedclass

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Question

(B) For this $AP$,the first term $a = 11$ and the common difference $d = a_2 - a_1 = 8 - 11 = -3$.Let $-150$ be the $n^{	ext{th}}$ term of this $AP$.

Vedclass · Accepted Answer

No

Vedclass · Answer

(B) For this $AP$,the first term $a = 11$ and the common difference $d = a_2 - a_1 = 8 - 11 = -3$.Let $-150$ be the $n^{	ext{th}}$ term of this $AP$.Using the formula for the $n^{	ext{th}}$ term: $a_n = a + (n - 1)d$.Substituting the values: $-150 = 11 + (n - 1)(-3)$.$-150 = 11 - 3n + 3$.$-150 = 14 - 3n$.$3n = 14 + 150$.$3n = 164$.$n = \frac{164}{3} = 54.66$.Since $n$ must be a positive integer for any term in an $AP$,and here $n$ is not an integer,$-150$ is not a term of this $AP$.

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

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