Consider the geometric sequence 4, 40, 400, 4000, ...

Mathematics

1 answer:

Rom4ik [11]3 years ago

7 0

Answer:

a(n) = 4*10(n - 1)

Step-by-step explanation:

Each term of the given sequence is 10 times greater than the previous term.

The first term of this sequence is 4.

Thus, the explicit formula desired is:

a(n) = 4*10(n - 1).

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Which equation represents a line that passes through (–2, 4) and has a slope of ? y – 4 = 2/5(x + 2) y + 4 = 2/5(x – 2) y + 2 =

valentinak56 [21]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -2}}\quad ,&{{ 4}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{2}{5}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{2}{5}[x-(-2)]
\\\\\\
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Maurinko [17]

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Hence the function for the 7th term in the sequence is a + (7 - 1)d = a + 6d where a is the number of minutes Jasmine practiced the piano on Monday and d is the additional number of minutes added by Jasmine to his practice time evey day.

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What is the slope of the line that passes through the points (-6, 8)(−6,8) and (-16, 33) ?(−16,33)? Write your answer in simples

Taya2010 [7]

Given:

A line passes through the points (-6, 8) and (-16, 33).

To find:

The slope of the line.

Solution:

If a line passes through two points, then the slope of the line is

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