Answer:
Step-by-step explanation:
Let the equation be :
The point (1,1) must satisfy this equation.
Similarly, the point (1,3) must satisfy:
Also for the point (9,2), we have:
Solving the equations (1), (2) and (3) simultaneously, we get:
We Substitute this values to get:
Multiply through by 8 to get:
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is:
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
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: