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11, 8, 5, 2,.... in this A.P. Which Term is Number –151? - Algebra

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प्रश्न

11, 8, 5, 2,.... In this A.P. which term is number –151?

उत्तर

The given sequence is 11, 8, 5, 2,.... –151.

\[a_n = a + \left( n - 1 \right)d\]
\[ \Rightarrow - 151 = 11 + \left( n - 1 \right)\left( - 3 \right)\]
\[ \Rightarrow - 151 = 11 - 3n + 3\]
\[ \Rightarrow - 151 = 14 - 3n\]
\[ \Rightarrow 3n = 14 + 151\]
\[ \Rightarrow 3n = 165\]
\[ \Rightarrow n = 55\]

Hence, 55th term is number –151.

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अध्याय 3: Arithmetic Progression - Practice Set 3.2 [पृष्ठ ६६]

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बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
अध्याय 3 Arithmetic Progression
Practice Set 3.2 | Q 8 | पृष्ठ ६६

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