Question

2) For a G.P.

i) a = 2, r=-2/3
find s6​

Answer 1

Answer:

given ,

a=2 , r=-2/3

s6 = ar^5

s6 = 2(-2/3)^5

s6 = 2(-32/243)

s6 = 64/243

hope it is helpfull

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Answer 2

$\bold{\red{➾\: S_n = \dfrac{a(r^{n}-1)}{r-1}}}$

$\bold{➾\: S_6 = \dfrac{2((-\dfrac{2}{3})^{6}-1)}{(-\dfrac{2}{3}-1)}}$

$\bold{➾\: S_6 = \dfrac{2(\dfrac{2^6-3^6}{3^6})}{(-\dfrac{5}{3})}}$

$\bold{➾ \:S_6 = -\dfrac{2(2^6-3^6)}{5×3^5}}$

$\bold{➾ \:S_6 = -\dfrac{2(-665)}{5×243}}$

$\bold{➾\: S_6≈-1}$