Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesG.P.Medium2 minPYQ_2021
MathematicsMediumstatement

LetA1,A2,A3,..be squares such that for eachn1,the length of the side ofAnequals the length of diagonal ofAn+1. If the length ofA1is12 cm, then the smallest value ofnfor which area ofAnis less than one, is

Answer:
9
Solution:

Letanbe the side length ofAn.

So, an=2an+1,a1=12

 an=12×12n-1

Now, an2<11442n-1<1

 2n-1>144

 n-18

 n9

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:G.P.
2mℹ️ Source: PYQ_2021

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