Question

If a=6 and r=2 find Sn for GP

Answer 1

$Given \: first \:term (a) = 6 \:and \\common \:ratio (r) = 2 \: in \:a \: G.P$

$\boxed { \pink { Sum \:of \:n \:terms (S_{n}) = \frac{a(r^{n} - 1 )}{r-1} }}$

$\implies S_{n} = \frac{6 ( 2^{n} - 1)}{2-1}$

$\implies S_{n} = 6(2^{n} - 1 )$

Therefore.,

$\red{ S_{n} } \green {= 6(2^{n} - 1 ) }$

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