I don't understand this math at all plz help me

Mathematics

1 answer:

Serga [27]3 years ago

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The next term in the sequence is obtained by subtracting 4 from the previous term:

13 = 17 - 4

9 = 13 - 4

5 = 9 - 4

and so on.

Recursively, we can describe the n-th term in the sequence (denoted a(n)) as a function of the (n - 1)-th term:

a(n) = a(n - 1) - 4

starting with a(1) = 17. So we have, for instance,

a(2) = a(1) - 4 = 17 - 4 = 13

We want to find an explicit formula for a(n), meaning we want a way to determine the n-th term only as a function of n, and not any other known term in the sequence. We can iteratively apply the recursive rule above:

a(n) = a(n - 1) - 4

a(n - 1) = a(n - 2) - 4

→ a(n) = (a(n - 2) - 4) - 4 = a(n - 2) - 2×4

a(n - 2) = a(n - 3) - 4

→ a(n) = (a(n - 3) - 4) - 2×4 = a(n - 3) - 3×4

a(n - 3) = a(n - 4) - 4

→ a(n) = (a(n - 4) - 4) - 3×4 = a(n - 4) - 4×4

and so on, down to

a(n) = a(1) - (n - 1)×4

The first term is a(1) = 17, so

a(n) = 17 - 4 (n - 1) = 21 - 4n

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I'm going to assume that your function is f(x) = 1 + x^2 (NOT x2).

I suspect you're trying to estimate the "area under the curve of f(x) = 1 + x^2. You need to use this or a similar description to explain what you're doing.

Also, you need to specify whether you want "left end points" or "right end points" or "midpoints." Again I must assume you want one or the other (and will assume that you meant "left end points").

First, let's address the case n=3. You must graph f(x) = 1 + x^2 between -1 and +1. We will find the "lower sum," using "left end points." The 3 x-values are {-1, -1/3, 1/3}. Evaluate the function f(x) = 1 + x^2 at these 3 x-values. Keep in mind that the interval width is 2/3.
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Sorry, Michael, but I must stop here and await clarification from you regarding what you've been told to do in this problem. Otherwise too much guessing (regarding what you meant) is necessary. Please review the original problem and ensure that you have copied it exactly as presented, and also please verify whether this problem does indeed involve estimating areas under curves between starting and ending x-values.

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3 years ago

Use the graph to determine the correct relationship between the mean and median. A) mean < median B) median < mean C) medi

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Answer:

B) median < mean

Step-by-step explanation:

To find the median, take away one of the frequencies until you have only one left. The median is 6.

To find the mean add up all of the numbers and divide by how many numbers are used. 3 + 4(3) + 6(8) + 8(3) + 10(2) + 11 = 118/17 = 6.94

This means that the mean is greater than the median.

If this answer is correct, please make me Brainliest!

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