Answer:
-675
Step-by-step explanation:
The sum can be broken into parts that you know. Here, one of those parts is the sum of numbers 1 to n. That sum is given by n(n+1)/2.
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Another way to do this is to realize the sequence of numbers is an arithmetic sequence with a first term of 65 and a last term of 67-2·75 = -83.
The sum of an arithmetic sequence is found by multiplying the number of terms by their average value. Their average value is the average of the first and last terms.
The average value of those 75 terms is (65 +(-83))/2 = -9, so their sum is ...
75(-9) = -675
Answer:
Slope of function B
Step-by-step explanation:
Answer:
g(1) = -65; g(n) = g(n-1) -15
Step-by-step explanation:
Using n = 1, 2, 3, we can find the first three terms of the sequence:
g(1) = -50 -15 = -65
g(2) = -50 -15(2) = -80
g(3) = -50 -15(3) = -95
The first term of the arithmetic sequence is -65, so that is g(1). Each next term is 15 less than the one before, so the recursive formula is ...
g(n) = g(n-1) -15
The complete recursive function definition requires both parts:
g(1) = -65
g(n) = g(n-1) -15
After working this problem out, we know that 3x + 1 is not a total factor of the dividend, because there is a remainder.
When you divide a polynomial by another polynomial, if there is a remainder, it is not a complete factor.
<h3><u>After dividing, we are left with: 2x^3 - 2x - 4 + (3/(3x + 1))</u></h3>
There is a remainder of 3.
Answer:
these three might be it..
Step-by-step explanation:
8 1/4 / 8.25 / 33/4
