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zhenek [66]
3 years ago
6

S is between T and V. R is between S and T. T is between R and Q. QV = 23, QT = 8, and TR = RS = SV. determine the length of TR.

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

QT = 6 (given)

QV = 18 (given)

TR=RS=SV (given)

Then TV = 18-6 = 12 and since TR=RS=SV , then each segment = 12/3 =4

RS = 4

QS = 14

TS = 8

and TV. = 12

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a4/a3=(5/16)/(5/8)=(5/16)*(8/5)=(5*8)/(16*5)=8/16=1/2
Ratio: r=a2/a1=a3/a2=a4/a3→r=1/2

an=a1*r^(n-1)
a1=5/2, r=1/2
an=(5/2)*(1/2)^(n-1)
an=(5/2)*[1^(n-1)/2^(n-1)]
an=(5/2)*[1/2^(n-1)]
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n=8→a8=5/2^8
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Answers:
The formula for the general term or nth term for the sequence is an=5/2^n
a8=5/256
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