Answer:
See below.
Step-by-step explanation:
I will assume that 3n is the last term.
First let n = k, then:
Sum ( k terms) = 7k^2 + 3k
Now, the sum of k+1 terms = 7k^2 + 3k + (k+1) th term
= 7k^2 + 3k + 14(k + 1) - 4
= 7k^2 + 17k + 10
Now 7(k + 1)^2 = 7k^2 +14 k + 7 so
7k^2 + 17k + 10
= 7(k + 1)^2 + 3k + 3
= 7(k + 1)^2 + 3(k + 1)
Which is the formula for the Sum of k terms with the k replaced by k + 1.
Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.
But the formula is true for 1 term because 7(1)^2 + 3(1) = 10 .
So it must also be true for all subsequent( 2,3 etc) terms.
This completes the proof.
The answer is 540 m2 hope this helps
bearing in mind that parallel lines have the same exact slope, then any parallel line to the one above will have the same slope as that one.
Answer:
15ft
Step-by-step explanation:
Draw out the picture and use the Pythagorean theorem (equation is written in blue) to solve.
View Image
Please, post just one problem at a time, or (if you post more than one), indicate which one you want to focus on first. Even more important, please do whatever you can to get started on each problem; I'm sure you know at least some basics.
What does "intersecting" mean? Look it up if you're not sure.
Then what would "two intersecting lines" look like? Draw the graph, or at least explain in words what the graph would look like.
