Determine the 50th term of the sequence 100, 92, 84
1 answer:
We can figure this out using what's called an explicit formula.
n is the term we are looking for.
f(1) is the first term of the sequence, which in this case, is 100.
d is the common difference, which in this case, is -8.
f(n) = 100 - 8(n - 1)
f(n) = 100 - 8n + 8
f(n) = 108 - 8n
Now, we can input 50 for n and solve.
f(50) = 108 - 8(50)
f(50) = 108 - 400
f(50) = -292
The 50th term in this sequence is -292.
n is the term we are looking for.
f(1) is the first term of the sequence, which in this case, is 100.
d is the common difference, which in this case, is -8.
f(n) = 100 - 8(n - 1)
f(n) = 100 - 8n + 8
f(n) = 108 - 8n
Now, we can input 50 for n and solve.
f(50) = 108 - 8(50)
f(50) = 108 - 400
f(50) = -292
The 50th term in this sequence is -292.
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<h3>How to find the length of the hypotenuse</h3>
In the image attached we have a <em>right</em> triangle with two legs of <em>same</em> length. The hypotenuse of <em>right</em> triangles can be found by Pythagorean theorem, whose form is:
, where l is the length of the legs.
By Pythagorean theorem we find that the length of the hypotenuse is .
To learn more on Pythagorean theorem: brainly.com/question/26183488
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