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Question Number 183750 by kapoorshah last updated on 29/Dec/22

	Answered by mr W last updated on 30/Dec/22

	$S_{1} = a$ $S_{6} = \frac{a (1 - q^{6})}{1 - q}$ $a + \frac{a (1 - q^{6})}{1 - q} = 1024$ $a (2 - q - q^{6}) = 1024 (1 - q)$ $\frac{a (1 - q^{3})}{1 - q} \times \frac{a (1 - q^{4})}{1 - q} = 1023$ $\frac{a^{2} (1 - q^{3}) (1 - q^{4})}{{(1 - q)}^{2}} = 1023$ $\frac{1024^{2} (1 - q^{3}) (1 - q^{4})}{{(2 - q - q^{6})}^{2}} = 1023$ $\Rightarrow q \approx 3.9841$ $\frac{S_{11}}{S_{8}} = \frac{1 - q^{11}}{1 - q^{8}} \approx 63.2408$
	Commented by kapoorshah last updated on 30/Dec/22

	$h o w t o f i n d q \approx 3.9841$
	Commented by mr W last updated on 30/Dec/22

	$y o u c a n o n l y a p p r o x i m a t e .$ $i u s e d a n a p p .$
	Commented by kapoorshah last updated on 30/Dec/22

	$w h a t a p p l i c a t i o n d i d y o u u s e ?$
	Commented by mr W last updated on 30/Dec/22

	$i u s e d g r a p h e r . b u t t h e r e a r e m a n y$ $o t h e r s i m i l a r a p p s y o u c a n a l s o u s e .$
	Commented by kapoorshah last updated on 30/Dec/22

	$t h a n k y o u$
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