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3 years ago

Whats 21 3/4 ÷ 2 1/2 = ???

Mathematics

2 answers:

galben [10]3 years ago

8 0

The answer is 8.7, or 8 (7/10).

Elenna [48]3 years ago

3 0

The answer i got was

8/435

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the graph shows the first five terms in a geometric sequence what is the iterative rule for the sequence

algol [13]

The iterative rule for the sequence is a_n = 8 · ( 0.5 )ⁿ ⁻ ¹

<h3>Further explanation</h3>

Firstly , let us learn about types of sequence in mathematics.

Arithmetic Progression is a sequence of numbers in which each of adjacent numbers have a constant difference.

$\boxed{T_n = a + (n-1)d}$

$\boxed{S_n = \frac{1}{2}n ( 2a + (n-1)d )}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>d = common difference between adjacent numbers</em>

Geometric Progression is a sequence of numbers in which each of adjacent numbers have a constant ration.

$\boxed{T_n = a ~ r^{n-1}}$

$\boxed{S_n = \frac{a( 1 - r^n ) }{1 - r}}$

<em>Tn = n-th term of the sequence</em>

<em>Sn = sum of the first n numbers of the sequence</em>

<em>a = the initial term of the sequence</em>

<em>r = common ratio between adjacent numbers</em>

Let us now tackle the problem!

<u>Given:</u>

a₁ = 8

a₂ = 4

a₃ = 2

a₄ = 1

<u>Solution:</u>

<em>Firstly , we find the ratio by following formula:</em>

$r = a_2 \div a_1 = 4 \div 8 = 0.5$

$\texttt{ }$

<em>The iterative rule for the sequence:</em>

$a_n = a_1 \cdot~ r^{n-1}$

$a_n = 8 \cdot~ (0.5)^{n-1}$

$\texttt{ }$

<h3>Learn more</h3>

Geometric Series : brainly.com/question/4520950
Arithmetic Progression : brainly.com/question/2966265
Geometric Sequence : brainly.com/question/2166405

<h3>Answer details</h3>

Grade: Middle School

Subject: Mathematics

Chapter: Arithmetic and Geometric Series

Keywords: Arithmetic , Geometric , Series , Sequence , Difference , Term

6 0

3 years ago

Write the complex number in the form a + bi.

bonufazy [111]

Answer:

$\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i

Step-by-step explanation:

Using the exact value

cos60° = $\frac{1}{2}$ and sin60° = $\frac{\sqrt{3} }{2}$ , then

3(cos60° + isin60°)

= 3( $\frac{1}{2}$ + $\frac{\sqrt{3} }{2}$ i) ← distribute by 3

= $\frac{3}{2}$ + $\frac{3\sqrt{3} }{2}$ i ← in the form a + bi

7 0

3 years ago

There were a total of 61,069,054 votes for the winner in the 2004 presidential election.

d1i1m1o1n [39]

6 is in the ten millions place. The number next to 6 is 1, which is less than 5, so you round down. The nearest 10 million is 60,000,000.

8 0

2 years ago

Read 2 more answers

A system of equations is shown below:

gtnhenbr [62]

Y = 8x - 2
y = 9x - 7

8x - 2 = 9x - 7
- 8x - 8x
-2 = x - 7
+ 7 + 7
5 = x

y = 8x -2
y = 8(5) - 2
y = 40 - 2
y = 38
(x, y) = (5, 38)

The answer is C.

8 0

3 years ago

Find the volume of the given prism. Round to the nearest tenth if necessary.

Alisiya [41]

Hello!

To find the volume of a rectangular prism you do hwl

h is height
w is width
l is length

4.2 * 5.3 * 12.1 = 269.346

The answer is 269.3 cubic centimeters

Hope this helps!

6 0

3 years ago