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AysviL [449]
3 years ago
6

Find the 31st term of the following sequence.. . 9, 15, 21, .... . . 186. 189. 195. . . is there an easy way to do this.

Mathematics
2 answers:
Alja [10]3 years ago
7 0
This problem is an example of an arithmetic series.

The common difference of the second term (15) with the first term (9) and the third term (21) with the second term (15) [15-9=6; 21-15=6] is 6.

The formula for solving this is:
An= A1 +(n-1)*d where An is the nth term, A1 is the first term, n is the number of terms and d is the common difference.

An=9+ (31-1)*6 = 189

The answer is 189.
Maslowich3 years ago
6 0

Answer:

189

Step-by-step explanation:

1. Formula

A(n) = a + (n - 1)d

term number: n

first term: a

common difference: d

2. Solve

A(n) = 9 + (31 - 1)6

31 - 1 = 30

A(n) = 9 + 30 x 6

30 x 6 = 180

A(n) 9 + 180 = 189

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dimaraw [331]

Answer:

y=\frac{1}{4}x +3

Step-by-step explanation:

slope (rise over run) choose 2 points that are easy to figure out. Count up and over to get the slope

(0,3) and (4,4)

3 to 4 is 1

0 to 4 is 4

slope is 1/4

y intercept is b- so +3

y=y=\frac{1}{4} x+3

5 0
2 years ago
How do you do this the test is tomorrow and I forgot how to do this?
MrRa [10]
Some things you need to know:

1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.

2) When two lines are parallel, the slopes are the same.

3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
    example: 3/4 --> -4/3.
                    3/4 * -4/3 = -12/12 = -1

4) To find the value of b, substitute the point into the equation.

5) Convert the equation to slope y-int. form to find the slope.

6) When a line has an undefined slope, the slope y-int. will look either like
    y = __ (forms horizontal line) or x = __ (forms vertical line).
    To find the perpendicular of these lines, turn y to x / x to y.
    To find the value of __, look at the point located in the line, so if x = ___
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Use online practice tests and other sources if you don't understand.
5 0
3 years ago
A jewlery supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 57% markup
kirza4 [7]

11. 57% = 0.57

12.  retail price = c + (0.57c)

13.  retail price = 45 + (0.57 x 45)

retail price = 45 + 25.65

retail price = $70.65

14. 57% was added to the original price of the chain which is $25.65

4 0
3 years ago
If (x) = x^2 - 3x + 1 what is the value of f(-2)
KIM [24]

Answer:

11

Step-by-step explanation:

f(x) = x^2 - 3x + 1

f(-2) = (-2)^(2)-3(-2)+1

f(-2) = 4 + 6 + 1

f(-2) = 11

Just substiute -2 for x and sove.

8 0
2 years ago
Read 2 more answers
Identify the similar triangles and find each measure​
Amiraneli [1.4K]

Answer:

x = 8

Step-by-step explanation:

Angle J = Angle P, and Angle L = Angle L so the triangles have the same angle measures all the way around. Triangle JKL is the same as Triangle LMP, but smaller. it has been reduced by a ratio of 4:6. You then divide 4 by 6 to get the ratio in decimal form, and then multiply that by 12 to get the equivalent length for JK to PM

4 0
3 years ago
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