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nika2105 [10]
3 years ago
10

The formula for the nth term of an arithmetic sequence can be found using the formula Which of the following is equivalent to th

is equation?
Mathematics
2 answers:
djyliett [7]3 years ago
6 0
The formula for the nth term is

a1 + (n-1)d     where a1 = first term and d = common difference
Arte-miy333 [17]3 years ago
6 0

Answer:

n^{th} term of AP = a + (n-1) d

Step-by-step explanation:

Let the first term of arithmetic progression be a and common difference be d.

We have the AP

     a , a + d, a+ 2d, a+3d..............................

     a + (1-1)d , a + (2-1)d, a + (3-1)d, a + (4-1)d..............................

So if we need n^{th} term, we can find it as

         a_n=a+(n-1)d

n^{th} term of AP = a + (n-1) d

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Gerry is knitting a scarf for a friend. She knits a gauge swatch which measures 4 in. by 4 in. If the square is 30 stitches wide
LiRa [457]

Answer:

<u>Gerry will need to knit 135 stitches wide and 351 rows long for make a scarf that is 18 inches wide and 36 inches long.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Measures of the gauge swatch = 4 inches * 4 inches

Number of stitches wide of the gauge swatch = 30

Number of rows long of the gauge swatch = 39

2. How many stitches wide will she need to knit in order to make a scarf that is 18 inches wide and 36 inches long?

Using Rule of Three Simple we can found that value, this way;

Number of stitches wide for 18 inches wide = (18 * 30)/4

Number of stitches wide for 18 inches wide = 540/4 = 135

<u>Gerry will need to knit 135 stitches wide for make a scarf that is 18 inches wide.</u>

We can found the same way, the rows long:

Number of rows long for 36 inches long = (36 * 39)/4

Number of rows long for 36 inches long = 1,404/4 = 351

<u>Gerry will need to knit 351 rows long for make a scarf that is 36 inches long.</u>

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3 years ago
There are 4 books on a shelf. books are added to the shelf at a rate of 2 books per minute. the total number of books on the she
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The algebraic equation to represent the given situation is as follows,

y = 4 + 2x

What is an algebraic equation?

The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).

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It is given that 2 books are added per minute to the shelf.

If x is the number of minutes, then the books added will be 2x.

If y is the total number of books present on the shelf, then the algebraic equation is given as,

y = Number of books initially present on the shelf  + 2x

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Thus, y = 4 + 2x is the required algebraic equation.

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brainly.com/question/953809

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