CAN SOMEONE PLEASE HELP ME PLEASE!!!!!
1 answer:
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Answer:
61
Step-by-step explanation:
The Pythagorean Theorem is a fundamental in geometry that involves looking at two sides of a right triangle and finding out the length of it. Let's use the formula with the corresponding numbers.
The formula for this question would be
Since we know that a = 11 and b = 60, we can do the following and substitute :
11 squared is 121
60 squared is 3600
Now we need to add the two number together :
121 + 3600
3721
Since this number is under the square root, we have to square root it. :
61
Therefore c is equal to 61.
Check the forward differences of the sequence.
If , then let
be the sequence of first-order differences of
. That is, for n ≥ 1,
so that .
Let be the sequence of differences of
,
and we see that this is a constant sequence, . In other words,
is an arithmetic sequence with common difference between terms of 2. That is,
and we can solve for in terms of
:
and so on down to
We solve for in the same way.
Then
and so on down to