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kolezko [41]
3 years ago
8

Write a formula for the nth term of the arithmetic sequence

Mathematics
1 answer:
den301095 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

a_{1}=1\\d=-3-1=-4\\a_{n}=a_{1}+(n-1)d\\a_{n}=1+(n-1)(-4)\\a_{n}=1-4n+4\\a_{n}=5-4n

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How do you add add fraction with a different denominator?
kenny6666 [7]

Find the LCM (least common multiple) of the denominators, and use that as the denominator for the two fractions.

Ex.

\frac{3}{4} +\frac{2}{3}

LCM (3, 4) is 12

\frac{9}{12} +\frac{8}{12}

=\frac{17}{12}

3 0
3 years ago
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Find the point on the line <br> y = 2x + 3<br> that is closest to the origin.
Ludmilka [50]
I believe the answer is (-1,1) . The origin is the same as (0, 0) so I drew the line on a quick graph and if you are talking about distance, then the answer should be correct.
Hope this helped :)
6 0
3 years ago
Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0
2 years ago
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Need help for 2 and 3 fast
gulaghasi [49]

Answer:

2^{-4} = 1/16

6^{-5} × 6^{5} = 1

Step-by-step explanation:

2^{-4} = 0.0625

0.0625 = 1/16

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2 years ago
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What is 5/8 with a denominator of 24?
Arturiano [62]

Answer:

Step-by-step explanation:

you multiply 8*3 to get 24 so you do the same to 5. so 5*3 = 15 so 15/24

4 0
3 years ago
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