Question

the first four term of the sequence whose nth term is given by an = 4n+1/2​

Answer 1

Step-by-step explanation:

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Answer 2

$Given \: n^{th} \:term \: of \: the \: sequence :$

$\boxed{\red{ a_{n} = 4n + \frac{1}{2} }}$

$i) If \:n= 1 \: then$

$First \: term (a_{1}) = 4 \times 1 + 0.5$

$= 4 + 0.5$

$= 4.5$

$ii) If \:n= 2 \: then$

$Second\: term (a_{2}) = 4 \times 2 + 0.5$

$= 8 + 0.5$

$= 8.5$

$iii) If \:n= 3 \: then$

$Third\: term (a_{3}) = 4 \times 3 + 0.5$

$= 12+ 0.5$

$= 12.5$

$iv) If \:n= 4 \: then$

$Fourth\: term (a_{4}) = 4 \times 4+ 0.5$

$= 16+ 0.5$

$= 16.5$

Therefore.,

$\red{ The \:first \:4 \:terms \:of \:the \: sequence}$

$\green { 4.5, 8.5, 12.5 \:and \: 16.5}$

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