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Otrada [13]
2 years ago
8

Find the general term of the sequencec.1 { 10, 5, 0, -5, -10 }c.2 { 1, 4, 9, 16, 25 }​

Mathematics
1 answer:
Ivan2 years ago
5 0

Answer:

1. 15 - 5n where n>=1

2. n² where n>=1

Step-by-step explanation:

1. {10, 5, 0, -5, -10} is an Arithmetic Progression

nth term is a + (n - 1)d

where a = first term, n= nth term, d= common difference.

a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))

Therefore, nth(General) term of the sequence:

= 10 + (n - 1)-5

= 10 + (-5n) + 5

= 10 + 5 - 5n

= 15 - 5n

Test:

if n = 1; 15 - 5(1) = 10

if n = 2; 15 - 5(2) = 5

if n = 3; 15 - 5(3) = 0 and so on.

2. {1, 4, 9, 16, 25}

The general term of the sequence is n²

Test:

if n = 1; 1² = 1

if n = 2; 2² = 4

if n = 3; 3² = 9 and so on.

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State the domain of the function.
boyakko [2]
Hi there! The domain of a function refers to the values that can be validly input for x. In laymen's terms, domain is the x-values that exist on a graph of the equation.

If we were to plug in y=-2x+5 into a calculator that shows an infinite graph, we would see that the line of the equation would extend both ways infinitely! This means that all real numbers can be inputs for x, because for every x value that exists there is a corresponding y value.

This means that D. All real numbers, is your answer.

Hope it helps! :)
6 0
3 years ago
On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg
DaniilM [7]

Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points  (x1, y1),  (x2, y2)given in coordinate plane slope is given by

y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\

For any line if slope is zero it is parallel  to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel  to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel  to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel  to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0
3 years ago
Read 2 more answers
If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-1) = -11 f(2) = 5 f(3) = -3 f(0) = -9 f(-3) = 15
Yuri [45]

f(-1) = -11 and f(3) = -3 . these functions are true .

What does a math function mean?

  • A relationship between a group of inputs and one output each is referred to as a function.
  •  A function is an association between inputs in which each input is connected to precisely one output.
  • A domain, codomain, or range exists for every function. f(x), where x is the input, is a common way to refer to a function.
  • In mathematics, a function is an expression, rule, or law that establishes the relationship between two variables (the dependent variable).

given function  f(x) = 2x - 9

   f(-1) = -11 ⇒ x = -1 put in function

                       f( -1 ) = 2 * -1 - 9  ⇒ - 11

    f(2) = 5   ⇒ x = 2 put in function

                    f( 2 ) = 2 * 5 - 9 = 1

    f(3) = -3  ⇒  x = 3 put in function

                     f ( 3 ) = 2 * 3 - 9 = -3

       f(-3) = 15   ⇒  x =  -3 put in function

                     f( -3) = 2 * -3 - 9 = - 15

Learn more about function

brainly.com/question/21145944

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3 0
1 year ago
Which of the following would you expect to find on a monthly account statement?
timama [110]
The answer is D
here's your answer
6 0
3 years ago
Read 2 more answers
Solve the system of equations by subsitution.<br> b = 4a +2<br> 12a - 3b = -6
Vladimir [108]

Answer:

infinite solution

Step-by-step explanation:

hello

we substitute b = 4a + 2 in the second expression

12a -3*(4a+2) = -6

<=> 12a -12a -6 = -6

<=> -6 = -6

which is always true

so there is infinite solution

hope this helps

5 0
3 years ago
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