Question

which of the following is not a term of the sequence ,13,24,35. a)101 b)1001 c)277 d)1113​

Answer 1

$\huge\star\boxed{\texttt\green{\underline{\underline{CORRECT\: QUESTION}}}}\star$

$\textbf{Which\:of\:the\:following\:is\:not\:a\:term\:of}$

$\textbf{the\:given\:sequence\:or\:A.P.\:}$

$\textbf{13,24,35,.....}$

$\textbf{a.\:101}$

$\textbf{b.\:1001}$

$\textbf{c.\:277}$

$\textbf{d.\:113}$

$\huge\star\star\boxed{\mathfrak\pink{\underline{\underline{Answer}}}}\star\star$

$\textbf{Option b) 1001}$

$\huge\star\star\star\boxed{\mathbb\red{\underline{\underline{GIVEN}}}}\star\star\star$

$\odot\:\:\textbf{A\:sequence\:or\:an\:A.P.\:}$

$\textsf{13,24,35,46,.......}$

$\huge\star\star\star\star\boxed{\mathbb\green{\underline{\underline{TO\: CALCULATE}}}}\star\star\star\star$

$\odot\:\:\textbf{If\:the\:four\:given\:options\:belong\:to\:the\:sequence\:or\:not}$

$\huge\star\star\star\star\boxed{\mathcal\red{\underline{\underline{Explanation}}}}\star\star\star\star$

$\textsf{If we add 13 to the multiple of 11, we get the sequence}$

$\textsf{Like, 13+11\:\times\:1=24 }$

$\textsf{ 13+11\times2=35 }$

$\textsf{So, if we do 13+11\times8 , the result is 101.}$

$\Longrightarrow\textsf{ 13+11\times8=88+13=101 }$

$\textsf{So, 101 is a term of sequence.}$

$\textsf{If we do 13+11\times24 , the result is 277.}$

$\Longrightarrow\textsf{ 13+11\times24=264+13=277 }$

$\textsf{So, 277 is also a term of the above sequence}$

$\textsf{If we do 13+11\times100 , the result is 1113.}$

$\Longrightarrow\textsf{ 13+11\times100=1100+13=1113 }$

$\textsf{So, 1113 is also a term of the sequence}$

$\textsf{But 1001 is not a term of the sequence.}$

$\textsf{Because, if we do 13+11\times89 the result is 992 and}$

$\textsf{if we do 13+11\times90 the result is 1003.}$

$\textsf{So, 1001 is not the term of the above sequence.}$

$\therefore\textbf{The\:Answer\:is\:1001(option b)}$

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