A company manufactures printers.
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The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.
Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.
So, if we sum the first N odd numbers, we have
The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have
The second sum is simply the sum of N ones:
So, the final result is
which ends the proof.
Answer:
Graph is attached below
Step-by-step explanation:
Intercepts are values of x and y at which the graph of the function intersects coordinate axis.
Given equation,
For x-intercept,
y = 0,
Thus, x-intercept is at (-6, 0)
For y-intercept,
x = 0,
Thus, y-intercept is at (0, -3)
Now, join these two points to show the line in coordinate plane.
