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2 answers:
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- Distance Formula:
- Product rule of radicals: √ab = √a x √b
Using our two points, we can solve for the distance as such:
Now our exact answer may be √116, however using the product rule of radicals we can further simplify the radical as such:
√116 = √4 x √29 = 2√29.
- Exact Answer: <u>√116 or 2√29</u>
- Approximate Answer: <u>10.77</u>
Consider the arithmetic series
Let t=1 in the given series, we get
first term = = 3-4 = -1.
Let t=2 in the given series, we get
second term = =
Let t=3 in the given series, we get
third term =
Now, let t=18 in the given series, we get
last term = l =
We get the series as
-1, 2, 5,..... 50
Sum =
=
=
= 441
Therefore, the sum of the given arithmetic series is 441.