What is a simple formula to solve a math sequence? Or a couple formulas if possible? Thanks!

Answers

Answer 1
Answer: 2 normal types of sequences:

1. arythmetic sequences: each term is the same distance to the next term, example, 2,4,6,8, distance is 2

2. geometric sequences: the ratio of consecutive terms is the same, example: 2,4,8,16, ratio is 4:2=2:1, 2/1=2


the nth term is denoted by a_(n)
the first term is represented by a_(1)

for arythmetic sequences, the nth tem is
a_(n)=a_(1)(n-1)d where d=distance between each term

for geometric sequences the nth term is
[tex] a_{n}=a_{1}r^{n-1} where r=ratio betwen consecutive terms


Related Questions

Los Angeles Airport bears 140 degrees from San Francisco Airport and is 540 km away. A pilot is planning a direct flight from San Francisco Airport to Los Angeles Airport to leave at 2 P.M. The plane's air speed will be 640 km/h, and there will be a 60 km/hwind blowing from 290 degrees. What should the compass heading be,and what is the plane's estimated time of arrival (ETA) to the nearest minute?
4. Nick deposited $4,000 in a 4 year CD account that pays 4.18% interest, compoundedweekly. What is the ending balance? Answer-
Use the distributive Property to evaluate the expression(-12) (6 + 4)
Solve for y: 3/4(5x-y)<3
A rectangular prism has a surface area of 400 cm 2 . If it is 10 cm long and 10 cm wide, what is its height?4 cm 5 cm 8 cm 40 cm

Find the slope of the line that contains these two points.
(2, -5) and (7, -10)

Answers

\sf Slope= (y_2-y_1)/(x_2-x_1)

Where \sf (x_1,y_1), (x_2,y_2) are the two points.

So

\sf Slope = ( -10-(-5))/(7-2)=(-10+5)/(7-2)=(-5)/(5)=-1

So the slope of (2,-5) and (7,-10) was \boxed{ -1}
m=(y1-y2)/(x1-x2)=(-5-(-10))/(2-7)=(5)/(-5) =-1
 Answer: slope is -1

Round 24,732 to the
nearest thousand.

Answers

Answer:

25,000

Step-by-step explanation:

7 is greater than 5 so we need to round UP

- 4x + 9y = 9
-8x + 10y = 10

Answers

Answer:

y = 1, x = 0

Step-by-step explanation:

multiply -4x +9y = 9 by -2 to get 8x -18y = -18

combine the two equations to get -8y = -8

divide both sides by -8 to get y = 1

plug in 1 as the y into one of the equations and solve to get x = 0

Answer:

(0,1)

x = 0

y = 1

Step-by-step explanation:

(-4x + 9y = 9)-8

(-8x + 10y = 10)4

32x - 72y = -72

-32x + 40y = 40

-32y = -32

y= -32/-32

y=1

-4x + 9(1) = 9

-4x + 9 = 9

-4x = -9 + 9

-4x = 0

x = 0/-4

x = 0

What is the next two numbers for the pattern 0.006, 0.06, 0.6, and 6?

Answers

Answer: 60 and 600

Step-by-step explanation:

The pattern is times 10

6x10=60 60x10=600

Final answer:

The number pattern multiplies each subsequent number by 10. Thus, the next two numbers in the sequence 0.006, 0.06, 0.6, and 6 are 60 and 600.

Explanation:

The question asked is related to a number pattern - specifically, it's about identifying the next two numbers in the series 0.006, 0.06, 0.6, and 6. Looking at this series, we can see a pattern: each subsequent number appears to be 10 times larger than its predecessor.

To get the next number in the series, we multiply the previous one by 10. So, if we multiply 6 by 10, we get 60. Therefore, 60 is the next number in the pattern.

Following this pattern, the number after 60 would be 10 times greater, which is 600. Therefore, the next two numbers in the series after 0.006, 0.06, 0.6, and 6 are 60 and 600.

Learn more about Numbers here:

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An angle that contains 126 degrees and 32 minutes is a(n) ____________ angle. A. right
B. acute
C. straight
D. obtuse

Answers

Answer:

option: D

Step-by-step explanation:

We are given one of the angle as 126 degrees and 32 minutes.

we know from the conversion of minutes to degrees that

1 minute=(1/60) degrees

so 32 minutes=(32/60) degrees=0.53333 degrees

Hence, 126 degrees and 32 minutes=(126+0.53333) degrees

                                                             =126.53333 degrees

" Obtuse Angle: An angle is said to be obtuse if it's measure is greater than 90 degree but less than 180 degrees" .

As the measure of the given angle is greater than 90° but less than 180°.

Hence, An angle that contains 126 degrees and 32 minutes is an OBTUSE angle.

An angle that is greater than 90° and less than 180° is an OBTUSE ∠.
Answer is D. Obtuse angle

Jerome bought screen for 59 cents per sq ft. how much did 12 sq ft cost

Answers

Answer:

$7.08

Step-by-step explanation:

59 cents = 1 sq ft

? = 12 sq ft

To get from the 1 to the 12 we multiply by 12, so we must do the same to the 59 cents.

0.59 * 12 = 7.08

Therefore, the cost of 12 sq ft is $7.08.

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