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sertanlavr [38]
4 years ago
10

What is the first term in a geometric sequence if the common ratio is −2 and the sum of the first five terms is 77?

Mathematics
1 answer:
kirza4 [7]4 years ago
5 0
Answer is a1 = 7

Using equation (derived from formula to find sum of values in a geometric series),
77 \:  =  \frac{a(1 - (  { - 2}^{5}))}{1 - ( - 2)}
Hence, solve for a.
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Given the function f(x) = −3x3 + 9x2 − 2x + 3, what part of the function indicates that the left end starts at the top of the gr
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Answer: The correct option is, The coefficient of the first term.

Step-by-step explanation:

The given function is,

f(x)=-3x^3+9x^2-2x+3

End behavior of the polynomial function : It is defined as the graph of f(x) as x approaches +\infty and -\infty.

The end behavior of the graph depends on the leading coefficient and degree of the polynomial.

As, the degree of the polynomial is '3'. So, the leading coefficient will determine the structure of the graph.

Therefore, the coefficient of the first term will indicate that the left end starts at the top of the graph.

The graph is also shown below.

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To add integers with the same sign
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Examine the following graph of a line. Which equation correctly represents the line in slope-intercept form?
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Solve the system of equations using substitution
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Find each quotient. Write in simplest form. keep answer as fraction - not decimal
kirill [66]

So we are given the expression:

\frac{mn^{2}}{4} ÷ \frac{m^{2}n}{8}

When we divide fractions, we must flip the second term and change the sign to multiplication:

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And then we multiply across:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}

Then we can break apart all of the like variables for simplification:

\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

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So then we multiply all of these simplified parts together:

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So now we know that the simplified form of the initial expression is: \frac{2n}{m}.

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