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2 years ago

Please help me answer these.

Mathematics

1 answer:

Andrews [41]2 years ago

7 0

Answer:

1 is 3.5

2 is 480

3 is 15

4 is 2.5

5 is B and D

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Create three geometric sequences of your own (including one that is decreasing). Extend your sequences to include five terms. Th

Karo-lina-s [1.5K]

Answer:

a) $a_n=5\,\,(2)^{n-1}$

b) $b_n=100\,\,(\frac{1}{2} )^{n-1}$

c) $c_n=160\,\,(-\frac{1}{2} )^{n-1}$

Step-by-step explanation:

a) Geometric sequence with first term 5 and common ratio 2, where the nth term can be calculated via:

$a_n=5\,\,(2)^{n-1}$

The first five terms are: $a_1=5;\,\,\,a_2=10;\,\,\,a_3=20; \,\,\,a_4=40;\,\,\,a_5=80$

b) Geometric sequence with first term 100 and common ratio 1/2, where the nth term can be calculated via:

$b_n=100\,\,(\frac{1}{2} )^{n-1}$

The first five terms are: $a_1=100;\,\,\,a_2=50;\,\,\,a_3=25; \,\,\,a_4=12.5;\,\,\,a_5=6.25$

c) Geometric sequence with first term 160 and common ratio -1/2, where the nth term can be calculated via:

$c_n=160\,\,(-\frac{1}{2} )^{n-1}$

The first five terms are: $a_1=160;\,\,\,a_2=-80;\,\,\,a_3=40; \,\,\,a_4=-20;\,\,\,a_5=10$

4 0

3 years ago

Find a coterminous angle between 0 and 2 pi for each given angle. 191pi/45

Sedaia [141]

Check the picture below.

let's recall that 2π is a full go-around or namely a revolution

$\bf \cfrac{191}{45}\implies \cfrac{45+45+45+45+11}{45}\implies \cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{45}{45}+\cfrac{11}{45} \\\\\\ 1+1+1+1+\cfrac{11}{45}\implies \stackrel{\textit{and this more}}{\underset{\textit{2 go-around}}{\underset{\uparrow }{2+2}+\stackrel{\downarrow }{\cfrac{11}{45}}}}$

5 0

3 years ago

42 points!

kupik [55]

Answer:

Step-by-step explanation:

30x20=600

5 0

3 years ago

Read 2 more answers

The ratio of red foxes to gray wolves in a national park is 3 to 7.

Brums [2.3K]

Answer:

Step-by-step explanation:

I hope this helpssssssss

5 0

3 years ago

Sara left a bin outside in her garden to collect rainwater. She notices that 1/8 gallon of water fills 2/3 of the bin. Write and

Tpy6a [65]

Answer: 3/16 gallons of water

Step-by-step explanation:

With any fraction, if you multiply it by its reciprocal, it equals 1. (ex: 3/4*4/3=1, 1/2*2/1=1, 71/256*256/71=1) Thus, 2/3*3/2=1. Because 2/3 of the bin=1/8 gallon, simply multiply both sides of the equation by 3/2 and you will get that 1 bin of water=0.1875 gallons of water, or 3/16 gallons of water.

Hope it helps <3

8 0

3 years ago