# I have a doubt in chapter ...

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

Neeraj Sharma 2 years, 4 months ago

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

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

{tex}a = 1{/tex}

{tex}l = 256{/tex}

{tex}a{r^4} = 256{/tex}

{tex}{r^4} = 256{/tex}

{tex}r = 4{/tex}

{tex}Now\,{G_1} = ar = 1 \times 4 = 4{/tex}

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

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

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