Question

find the sum of the first 5 terms of the G P whose first term is 1 and common ratio is 2/3​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

$\boxed { \blue { Sum \: of \: n \: terms (S_{n}) = \frac{ a( 1 - r^{n})}{(1-r)}}} \: </p><p>$

$S_{5} = \frac{ 1\big( 1 - \left(\frac{2}{3}\right)^{5}\big)}{1- \frac{2}{3}}$

$= \frac{ \big( 1 - \frac{32}{243}\big)}{\frac{3-2}{3}} \:$

$= \frac{\frac{243-32}{243}}{\frac{1}{3}} \:$

$= \frac{\frac{211}{243}}{\frac{1}{3}}$

$= \frac{211}{243}\times \frac{3}{1} \:$

$= \frac{211}{81} \:$