Question

the nth term of an arithmetic progression is an =4n+5 then the 3 rd term is​

Answer 1

an=4n+5

therefore a3= 4*3+5 (Here n is 3)

12+5

17

Answer 2

$\huge{\underline{\underline{\boxed{\sf{\purple{Answer࿐}}}}}}$

$\bf\small\underline\red{Given :-}$

$\longrightarrow\tt{n^{th}} \:term \: of \: the \: AP = 4n +5$

$\bf\small\underline\red{To \: find :-}$

$\tt{3^{rd}} \: term \: of \: the \: AP$

$\bf\small\underline\red{Solution :-}$

$\rm \: Let \: \rm{t_{n}} \: denote \: the \rm\: {n^{th}} \: term \: of \: the \: sequence \\ \\ \tt{t_{n}= 4n + 5}$

$\rm\: So, first \: term = \tt{t_{1}} \\ \\ \tt{= 4(1)+5 = 9} \\ \\ \rm \: Second \: term = \tt{t_{2} = 4(2) + 5 = 13} \\ \\ \rm \: Third \: term = \sf{t_{3} = 4(3) + 5 = 17 } \\ \\ \boxed{\tt \red{t_{3} = 17 }} \\ \\ \therefore\bold{3^{rd} \ term \ of \ the \ AP = 17}$

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