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laila [671]
3 years ago
10

Please please help meeee

Mathematics
1 answer:
Daniel [21]3 years ago
4 0

Answer:

1.5 km

Step-by-step explanation:

Length of pool = 25m

no.of lengths. = 60

Total length of he swim s = 25m* 60

= 1500m

You know , 1000m = 1km ,

so,

He swims 1500m/1000m

= 1.5 km

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Sequence: 5/2, 5/4, 5/8, 5/16
a8=?

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a2/a1=(5/4)/(5/2)=(5/4)*(2/5)=(5*2)/(4*5)=2/4=1/2
a3/a2=(5/8)/(5/4)=(5/8)*(4/5)=(5*4)/(8*5)=4/8=1/2
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)]
an=(5*1)/[2*2^(n-1)]
an=5/2^(1+n-1)
an=5/2^n

n=8→a8=5/2^8
a8=5/256

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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