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Zolol [24]
4 years ago
12

Can a recursive formula have a negative common difference ??

Mathematics
1 answer:
lesya692 [45]4 years ago
8 0

Answer:

Yes

Step-by-step explanation:

If you refer to common difference, then we are considering an Arithmetic Progression.

If the common difference of the arithmetic progression is negative, then the corresponding recursive formula will also have a negative common difference.

For instance, the common difference for

10,7,4,1,.... is -3.

The recursive formula is

a_n=a_{n-1}-3

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Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) is a rhombus
Sedbober [7]

Answer:

The quadrilateral is a rhombus

Step-by-step explanation:

Prove Quadrilateral P(-2, 3) L( 2, 6) U (7,6) S(3, 3) Is a rhombus

A rhombus is a quadrilateral with all its sides equal to each other.

We prove this using the formula

√(x2 - x1)² + (y2 - y1)²

When given vertices (x1, y1) and (x2, y2)

For sides PL

P(-2, 3) L( 2, 6)

√(2 - (-2))² + (6 - 3)²

= √4² + 3²

= √16 + 9

= √25

= 5 units

For sides LU

L( 2, 6) U (7,6)

√(7 - 2)² + (6 - 6)²

= √5²

= √25

= 5 units

For side US

L( 2, 6) U (7,6)

= √(7 - 2)² + (6 - 6)²

= √5² + 0²

= √25

= 5 units

P(-2, 3), S(3, 3)

= √(3 - (-2))² + (3 - 3)²

= √5² + 0²

= √25

= 5 units

From the above calculation,

PL = LU = US = PS = 5 units

Hence, the above quadrilateral is a rhombus

4 0
3 years ago
in april 2005, roland mailed a package from his local post office in Albermarle, NC ro a friend in fishers, Indiana for $2.76 pe
Alex Ar [27]

The weight of the package is 12 ounces

<h3>How to solve an equation to determine the weight of the package?</h3>

The given parameters are

Total amount = $2.76

Domestic rate = $.23 per ounce

The equation to determine the weight of the package is represented as:

Weight = Total amount/Domestic rate

Substitute the known values in the above equation

Weight = 2.76/.23

Evaluate the quotient

Weight = 12

Hence, the weight of the package is 12 ounces

Read more about unit rates at:

brainly.com/question/19493296

#SPJ1

6 0
2 years ago
How many inches are in 508 centimeters? 1 in. = 2.54 cmHow many inches are in 508 centimeters? 1 in. = 2.54 cm
umka2103 [35]
The answer is 200 because 508 divided by 2.54 equals to 200 inches
508 \div 2.54 = 200
5 0
3 years ago
A parabola with vertex (h, k) and a vertical axis of symmetry is modeled by the equation y - k = a(x - h)2. Determine the vertex
lisabon 2012 [21]
Answer: (-1, 4) is the vertex of the parabola.

To find the vertex when you are given the equation in vertex form, all you have to do is look at the letters k and h. They will tell you what the vertex is.
It is always (h, k)

There is only one trick in this problem. You have to change "(x + 1)" to "(x - (-1))" since the format of the equation requires "(x - h)".

This makes the h value -1 instead of 1.
8 0
3 years ago
What is the least to greatest in 7.49 7.05 7.505 7.55 7.5
In-s [12.5K]

Step-by-step explanation:

7.49,7.05, 7.5,7.55,7.505

4 0
4 years ago
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