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gulaghasi [49]
3 years ago
14

Write an explicit formula fo the sequence 7,2,-3,-8,-13.... Then find the 14th term

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

The 14th term is -58

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

where a1 is the first term

d is the common difference and

n is the term number

a1 = 7

d = 2-7 = -5

Check -3-2 = -5   so d = -5

an = 7 -5(n-1)

We want the 14th term

a14 = 7 -5(14-1)

a14 = 7 -5(13)

a14 = 7 -65

a14 = -58

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Tamiku [17]

Answer:

Ratio = 2:3

Step-by-step explanation:

Given

Cards = \{2,5,7,8,9,11\}

Required

Ratio of odd numbers to total

First, list out the odd numbers

Odd = \{5,7,9,11\}

The card has 4 odd numbers out of a total of 6.

So, the ratio is:

Ratio = Odd : Total

Ratio = 4:6

Divide by 2

Ratio = 2:3

<em>Hence, the ratio of odd to total is 2 to 3</em>

3 0
2 years ago
Match the verbal expression (term) with its algebraic expression (definition).
UkoKoshka [18]

The matching of definitions and terms are done below.

  1. Some number increased by two ⇒ b + 2
  2. A variable decreased by two ⇒ x – 2
  3. Product of an unknown value and two ⇒ 2z
  4. Quotient of some number and two ⇒ a ÷ 2
  5. An unknown value squared ⇒ y²

<h3>What is Algebra?</h3>

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Match the verbal expression (term) with its algebraic expression (definition).

Some number increased by two ⇒ b + 2

A variable decreased by two ⇒ x – 2

Product of an unknown value and two ⇒ 2z

Quotient of some number and two ⇒ a ÷ 2

An unknown value squared ⇒ y²

More about the Algebra link is given below.

brainly.com/question/953809

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6 0
1 year ago
15 DVDs, 1/5 were documentaries. How many of the movies were documentaries
Maksim231197 [3]

Answer:

3 of the DVDs were documentaries.

Step-by-step explanation:

We know that at first, there were 15 DVDs in total.

Now, we need to find how much 1/5 of 15 DVDs were equal to.

1/5 of 15 is equal to the number 3.

So, that means our answer is 3 of the DVDs are documentaries.

Hope this helps.

3 0
3 years ago
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3. How many 1/8's are in 1 1/4?
Murrr4er [49]

Answer:

10

Step-by-step explanation:

There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.

3 0
2 years ago
Marta conducts emissions inspections on cars. She finds that 8 percent of the cars fail the inspection. Let X be the number of c
exis [7]

Answer:

mean - 12.5

SD - 12.0

Step-by-step explanation:

6 0
3 years ago
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