07-07-2016
Mathematics

Answered

9) Let

X-2, x, x+3

be the first 3 terms of a geometric sequence. FInd the value of x..

9) Let X-2, x, x+3 be the first 3 terms of a geometric sequence. FInd the value of x.. class=

Verified Answer :

07-07-2016

Hello,

Let's r the ration

We suppose x ≠0

x=r(x-2)==>r=x/(x-2)

x+3=rx==> (x+3)/x=x/(x-2)==>(x+3)(x-2)=x²
==>x²+3x-2x-6=x² ==>x-6=0==>x=6

x-2=6-4=4
x=6
x+3=6+3=9
6=43/2
9=63/2

Ration 3/2
First term: 4

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