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I have a doubt in chapter 9 ie, sequences and series.

Question. insert 3 nos. b/w 1 & 256 so that the resulting sequence is a GP

Posted by Jahanvi Malhotra 8 years, 5 months ago

CBSE > Class 11 > Mathematics

1 answers

Neeraj Sharma 8 years, 5 months ago

$let\,three\,numbers\,b/w\,1\,and\,256\,be\,{G_1},\,{G_2},\,and\,{G_3}$

$1,{G_1},\,{G_2},\,{G_3},256\,are\,in\,GP$

$a = 1$

$l = 256$

$a{r^4} = 256$

${r^4} = 256$

$r = 4$

$Now\,{G_1} = ar = 1 \times 4 = 4$

${G_2} = a{r^2} = 1 \times {\left( 4 \right)^2} = 16$

${G_3} = a{r^3} = 1 \times {\left( 4 \right)^3} = 64$

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