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4 years ago

PLEASE HELP ME!! AT LEAST DO 2 PROBLEMS!

Mathematics

1 answer:

damaskus [11]4 years ago

4 0

1. 4n/5 = 4000 miles. n = 5000.
2. I can't read the whole thing.
3. 3000 miles.
4. Can't read the whole thing.

Hope I kinda helped.

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The sequence shown: 28, 22, 16, 10...)

noname [10]

Recursive formula: $a_n = a_{n-1} -6$

Explicit Formula: $a_n = 34-6n$

35th term: -176

Sum of first 35 terms: -2590

Step-by-step explanation:

Given sequence is:

28, 22, 16, 10

First of all, we have to determine if this is an arithmetic sequence or geometric sequence. for this purpose we will find the common difference.

Here

$a_1 = 28\\a_2 = 22\\a_3 = 16$

$d = a_2-a_1 = 22-28 =-6\\d = a_3-a_2 = 16-22 = -6$

As the common difference is same the sequence is an arithmetic sequence

Recursive Formula:

Recursive formula is the formula that uses the previous term and common difference to find the next term

As the common difference is -6

The recursive formula will be:

$a_n = a_{n-1} +(-6)\\a_n = a_{n-1} -6$

Explicit formula:

The explicit formula for an arithmetic sequence is:

$a_n = a_1+(n-1)d$

Putting the value of d and a_1

$a_n = 28 + (n-1)(-6)\\= 28 -6n+6\\= 34-6n$

35th term of the sequence:

To find the 35th term, putting n = 35

$a_{35} = 34-6(35)\\a_{35} = 34 - 210\\a_{35} = -176$

Sum:

$a_1 = 28\\a_{35} = -176$

The formula for sum of finite arithmetic sequence is:

$S_n = \frac{n}{2} (a_1+a_n)$

As we have to find sum of 35 terms, the formula will be:

$S_{35} = \frac{35}{2}(28-176)\\S_{35} = 17.5 (-148)\\=-2590$

Hence,

Recursive formula: $a_n = a_{n-1} -6$

Explicit Formula: $a_n = 34-6n$

35th term: -176

Sum of first 35 terms: -2590

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

5 0

3 years ago

Which system of linear equations appears to have a solution of (-1, 4)?

borishaifa [10]

Answer:

Step-by-step explanation:

A solution is (-1,4) means that point of intercept is (-1,4). So answer is D.

6 0

3 years ago

Read 2 more answers

Find the surface area?!

mojhsa [17]

Answer: 90

Step-by-step explanation:

5 0

3 years ago

LCM of 20 and 50 and GCF of 20 and 50 (Show all work) ( explain the steps you took to find the LCM and GCF)

Ksju [112]

"In order to get the Least Common Multiple of 50 and 20 we need to factor each value and then we need to choose all of the factors which appear in any column and then multiply them."

50: 2 55

20: 225

LCM: 2255

The (LCM) is: 2 x 2 x 5 x 5 = 100

"To find the Greates Common Factor (GCF) of 20 and 50 we need to factor each value first and then choose all the copies of factors and then multiply them."

20: 255

50: 55

The GCF is: 2 and 5 so you need to multiply and then you will get The Greates Common Factor. The greates common factor is: 2 x 5 = 10

4 0

3 years ago

Read 2 more answers

Is 8/5 proportional to 24/15 ?

DiKsa [7]

Hey there!

The answer to your question is, yes, it is

Given:

$\frac{8}{5}$ $and$ $\frac{24}{15}$

To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:

$8*15=24*5$

Let's solve it and see if it is true:

$8*15=24*5$

$120=120$

Therefore, they are proportional.

Cross products

WORD DEFINITION:

Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.

ALGEBRAIC DEFINITION:

Given two fractions, $\frac{a}{b}$ $and$ $\frac{c}{d}$ , $a*d$ should equal to $b*c$

Hope it helps, and have a terrificly amazing day!

3 0

3 years ago