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Lapatulllka [165]
3 years ago
6

J. Reexamine the sequence 20, 14, 8, 2, ... from the problem

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:

The n th of the given sequence is t_{n} = 26-6 n

Step-by-step explanation:

<u>Step 1</u> :-

Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.

given first term is 20 and difference isd = second term- first term = 14-20=-6

now the nth term of given sequence is

by using formula t_{n}=a+(n-1)d

t_{n}= 20+(n-1)(-6)

t_{n}= 20-6 n+6

final answer:-

t_{n} = 26-6 n

<u>verification</u>:-

t_{n} = 26-6 n

put n=1 we get first term is 20

put n=2 we get second term is 14

put n=3 we get third term is 8

put n=4 we get fourth term is 2

so the n th term of sequence is

t_{n} = 26-6 n

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kendra knits hats. She starts with 3 3/4 yd of yarn. After knitting for 5 1/4 h their is 1 1/8 yd of yarn left. At what rate doe
nadezda [96]

Answer:

The rate is  1 ÷ 2 yards per hour

Step-by-step explanation:

The computation of the rate does the amount of yarn changes is given below:

= 3 3 ÷ 4 - 1 1 ÷8

= 15 ÷ 4 - 9 ÷ 8

= 21 ÷ 8 yards

 Now divide the above fraction by the number of hours

= 21 ÷ 8 yards ÷ 5 1 ÷ 4

= 21 ÷ 8 ×  4 ÷ 21

= 1 ÷ 2 yards per hour

Hence, the rate is  1 ÷ 2 yards per hour

The same would be relevant

8 0
3 years ago
Find the area and the circumference of the circle with the radius 6yd.
fgiga [73]

Answer:

<h2>A = 36π yd² ≈ 113.04 yd²</h2><h2>C = 12π yd ≈ 37.68 yd</h2>

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

The formula of a circumference of a circle:

C=2\pi r

<em>r</em><em> - radius</em>

<em />

We have <em>r = 6yd</em>.

Substitute:

A=\pi(6^2)=36\pi\ yd^2

C=2\pi(6)=12\pi\ yd

If you want round the answers, then use <em>π ≈ 3.14</em>

A\approx(36)(3.14)=113.04\ yd^2

C\approx(12)(3.14)=37.68\ yd

3 0
3 years ago
There are 234 pieces of candy in 9 bags of candy. If there are the same amount of pieces of candy in each bag, how many total pi
spin [16.1K]

Answer:

130 pieces of candy in 5 bags

Step-by-step explanation:

234/9 equals 26, that means there would be 26 pieces of candy in 9 bags, therefore 26x5 equals 130, and just to make sure, divide 130/26 to check if its wrong, but it should be 130. :) hope this helps you out!

8 0
2 years ago
The width of a rectangle is 4 less than half the length. If L represents the length, what equation can be use to find the width,
strojnjashka [21]

Answer:

W = 1/2L - 4

Step-by-step explanation:

The width is 4 less than 1/2 of the length.

w = 1/2L - 4

6 0
2 years ago
The length of a rectangle exceeds the breadth by 8 cm. Find the area of the rectangle, if its perimeter is 180 cm
sergiy2304 [10]

Answer:

2009cm^2

Step-by-step explanation:

Given data

let the length be L

and the width be w

so

w= x

L=x+8

P= 180cm

P= 2L+2W

180= 2(x+8)+2(x)

180= 2x+16+2x

collect like terms

180= 4x+16

180-16= 4x

164= 4x

x= 164/4

x=41

W= 41cm

L= 41+8

L= 49cm

A= L*W

A=49*41

A=2009cm^2

Hence the area is 2009cm^2

3 0
2 years ago
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