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GalinKa [24]
2 years ago
9

Here are the first four terms of an arithmetic sequence.

Mathematics
1 answer:
klemol [59]2 years ago
8 0

Answer:

nth term = 7n - 2

Step-by-step explanation:

The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below

The nth term of the arithmetic sequence form can be represented as follows.

nth = a + (n - 1)d

where

a = first term

d = common difference

Therefore,

a = 5

d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7

nth = a + (n - 1)d

nth term = 5 + (n - 1)7

nth term = 5 + 7n - 7

nth term = 7n - 2

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Describe how to simplify the expression StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline E
Minchanka [31]

Answer:

Keep the base the same and then subtract the exponents.

Step-by-step explanation:

According to one of the law of indices, for given values a, m and n;

a^m/a^n = a^(m-n)

The base value which is a is maintained and the difference of exponents are taken. In indices division becomes subtraction.

Now given the expression

3^-6/3^-4

As we can see, both the numerator and denominator has the same base which is 3, therefore we will keep the base and take the difference of its exponents according to the law above:

3^-6/3^-4 = 3^(-6-(-4))

= 3^(-6+4)

= 3^-2

= 1/3^2

= 1/9

3 0
3 years ago
Read 2 more answers
What value of c make the relation (c,9), (8,7),(6,5) a function
Gemiola [76]

Answer:10

Step-by-step explanation:

plz leave a like

7 0
3 years ago
There are 20 light bulbs in 5 packages.Complete the table to find the rate that gives you the number of light bulbs in 3 package
blondinia [14]
Given that t<span>here are 20 light bulbs in 5 packages.

The table to find the rate that gives you the number of light bulbs in 3 packages is given as follows:

\begin{tabular}&#10;{|c|c|c|c|c|c|}&#10;Light bulbs&4&8&12&16&20\\[1ex]&#10;Packages&1&2&3&4&5&#10;\end{tabular}

Three different ways in which the rate can be written are:

12 light bulbs to 3 packages

12 light bulbs : 3 packages

12 light bulbs / 3 packages
</span>
7 0
3 years ago
What is the slope of a line that is parallel to the line represented by the equation 3x+4y=12?
mash [69]

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

(there is probably another way to do this, but I will be doing it this way)


Isolate the "y" in the equation

3x + 4y = 12       Subtract 3x on both sides

4y = 12 - 3x        Divide 4 on both sides

y=3-\frac{3}{4}x  or   y=-\frac{3}{4} x+3   The slope is -3/4


For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also -\frac{3}{4}

8 0
3 years ago
Round to the nearest whole number: 67.24
natta225 [31]
67 because 24 isnot 50 yet so you would keep 67 how it is but if it was 50 or more then you would round it up to 68
6 0
3 years ago
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