The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: 
<h3>How to write the series in sigma notation?</h3>
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
brainly.com/question/6561461
Answer:
see explanation
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 4, 7 ], thus
z = 
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
Answer:
Option C) The first equation is y= 2/3x-4 when written in slope-intercept form .
Step-by-step explanation:
We have
The first equation is in Standard form .
Convert to slope Intercept form .
Isolate the Variable y .
Divide by 3 both sides .
The second equation is in slope Intercept form .
Convert to standard form
Multiply by 5 both sides to remove the fraction .
<h3><u>Verify each statement :- </u></h3>
<h3>• case A) Both equations are in slope-intercept form.</h3>
- Because only the second equation is in slope -intercept form
<h3>• case B) Neither equation is in slope-intercept form .</h3>
- Because, the second equation is in slope -intercept form
<h3>• case C) The first equation is y= 2/3x-4 when written in slope-intercept form</h3>
<h3>• case D)The second equation is 3x+5y=10 when written in slope-intercept form.</h3>
- Because, the second equation is 3x+5y=10 when written in standard form .
<h2>I hope this helps you !! </h2>
