2 years ago

Consider the first four terms of the sequence below.

Mathematics

1 answer:

tigry1 [53]2 years ago

8 0

Answer:

the answer is C.-1/128......

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What’s the area and perimeter for this problem?

neonofarm [45]

Answer:

area:1.9×0.75÷2

perimeter:2+0.75+2.25

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2 years ago

First time doing mensuration, can someone enlighten me on how to find the height of the hemisphere and cone?

Alina [70]

Answer:

Step-by-step explanation:

volume= $1/3\pi r^2h +2/3\pi r^3$ [

tex]=1/3\pi *9*4+2/3\pi *3^3[/tex]

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3 years ago

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10. An arithmetic sequence has this recursive formula. What is the explicit formula?

Mrrafil [7]

Answer:

$a_{n}=45-3n$

Step-by-step explanation:

Method 1:

Arithmetic sequence is in the form

$a_{n} =a_{1} +(n-1)d\\$

d is the common difference, can be found by:

$d=a_{n}-a_{n-1}=-3$

Subtituting the $a_{1}$ and $d$

You get:

$a_{n}=42+(-3)(n-1)=45-3n$

Method 2 (Mathematical induction):

Assume it is in form $a_{n}=45-3n$

Base step: $a_{1} =45-3(1)=42$

Inducive hypophesis: $a_{n}=45-3n$

GIven: $a_{n+1} =a_{n}-3$

$a_{n+1}=45-3n-3=45-3(n+1)$

Proved by mathematical induction

$a_{n}=45-3n$

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3 years ago

It is 170 miles from Bruce’s house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 ho

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Bruce drove 30 miles per hour for the rest of the trip

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3 years ago

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If the shortest side in a 30° 60° and 90° triangle is a half an inch long find the length of the other two sides

disa [49]

30=1/2 inch
60=1/2x2=1 inch
90=1/2x3=1 1/2

shortest side is 1/2 inch, medium side is 1 inch, longest is 1 1/2

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2 years ago