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Kisachek [45]
3 years ago
9

The nth term of an AP is 12-4n. Find the first term and the common difference.

Mathematics
1 answer:
Virty [35]3 years ago
4 0

Answer:

the first term is 8 and common difference d is -4.

Step-by-step explanation:

We are given nth term of an arithmetic sequence is: aₙ=12-4n

We need to find first term and common difference of given arithmetic sequence

First term can be found by  putting n=1:

a_n=12-4n\\a_1=12-4(1)\\a_1=12-4\\a_1=8

So, first term is a₁= 8

Now to find common difference we need to find second term

Second term can be found by putting n=2

a_n=12-4n\\a_2=12-4(2)\\a_2=12-8\\a_2=4

So, second term is: 4

The common difference is found by subtracting second term with first term: a₂-a₁= 4-8 = -4

So, first term is 8 and common difference d is -4

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Aleks04 [339]
For the answer to the equation above, are you asking if what is the 1.42% of 100? 
Because the 1.42 of 100% is 1.42

100/x=100/1.42
<span>(100/x)*x=(100/1.42)*x      </span> multiply both sides of the equation by x
<span>100=70.422535211268*x     </span>divide both sides of the equation by (
70.422535211268) to get x
<span>100/70.422535211268=x </span>
<span>1.42=x </span>
<span>x=1.42</span>
I hope my answer helped you. Feel free to ask more questions. If you want some more precise answers to your question, ask the right question to get the right answers. Have a nice day!

3 0
3 years ago
Caroline's hair is
Ipatiy [6.2K]

The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

<h3>What is an equation? </h3>

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the number of months.

For Caroline's hair:

Length = (1/5)x + 7

For Trinity's hair:

Length = (1/10)x + 10

For Caroline's hair to be at least as long as Trinity's hair, hence:

(1/5)x + 7 ≥ (1/10)x + 10

The inequality can be used to determine how many months will it take for Caroline's hair to be at least as long as Trinity's hair is (1/5)x + 7 ≥ (1/10)x + 10

Find out more on equation at: brainly.com/question/2972832

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8 0
1 year ago
4. Ronnie has an after-school job at an animal shelter. She notices that at one meal, 3
Wittaler [7]

Answer:

1

Step-by-step explanation:

3 cans for 3 cats 1 can for 1 cat

5 0
2 years ago
Evaluate. 72 - 3 + 9 × 8 ÷ 2 w =
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Request of activities so increase then division, at that point deduction and expansion.  

9*8 = 72  

72/2 = 36  

72-3 = 69  

69+36 = 105

Another way of saying it is:

Utilize the request for tasks to improve on mathematical articulations. The request is brackets, types and roots, augmentation and division, expansion and deduction. Duplication and division are "something similar" so you would utilize the first that happens from left to right.  

Bit by bit clarification:  

7^2 - 3 + 9 x 8 ÷ 2  

49 - 3 + 9 x 8 ÷ 2  

49 - 3 + 72 ÷ 2  

49 - 3 + 36  

49 - 39  

W=10  

Brainliest?

6 0
3 years ago
Read 2 more answers
17.The diameter of a circle has endpoints P(–7, –10) and Q(3, 2).
ser-zykov [4K]
A.) (-2,-4)
(7+3)/2=5, (10+2)/2=6
(-7+5,-10+6)
(-2,-4)
b.)r^2=244
10^2+12^2=244
r=2(61)^(1/2)
c.)(x+2)^2+(y+4)^2=244
7 0
3 years ago
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