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Solnce55 [7]
3 years ago
13

The first term of an arithmetic sequence is equal to four and the common difference is three. find the formula for the value of

the nth term
Mathematics
1 answer:
hichkok12 [17]3 years ago
7 0

The formula for the value of nth term is a_{n} = 3n + 1

Step-by-step explanation:

The formula of the nth term in the arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the first term of the sequence
  • d is the common difference between each two consecutive terms

∵ The first term of an arithmetic sequence is equal to four

∴ a = 4

∵ The common difference is equal to three

∴ d = 3

- Substitute these values in the rule of the nth term

∵ a_{n}=a+(n-1)d

∴ a_{n}=4+(n-1)3

- Simplify it

∴ a_{n}=4+3n-3

∴ a_{n}=1+3n

The formula for the value of nth term is a_{n} = 3n + 1

Learn more:

You can learn more about the sequence in brainly.com/question/7221312

#LearnwithBrainly

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Find a linear equation whose graph is the straight line with the given property.
jeka57 [31]

Answer:

y = 3/4x - 9/8

Then read explanation and see here with 2 coordinates would make

if 3/4 = -6 then 1 = -8

y = -6x + c

-6 / 3/4  + 9/8 / - 0.5  = -2.25

therefore c = -2.25

y = -6x - 2.25

y = -6x - 9/4  and again 9/4 can be found easily if round up fraction decimal to 225/100 and divide by 4

Step-by-step explanation:

C1)    (0.5 , -0.75)

C2)   ( 1. -3.75)

y = mx + c

-3.75 - - 0.75  /   1 - 0.5  = -3.75 + 0.75 / 0.5

= -3 / 0.5 = m

m = -6

y = -6x + c

then this works given just one coordinate to solve for 1 or 2 sets given points

y - y1 = mx+c

y - - 0.75 =  0.75 (x - x1)

y + 0.75 = 0.75 (x - 0.5)

y + 0.75 = 0.75x - 0.375

y = 0.75 - 0.75   =  0.75x( - 0.375 - 0.75)

y = 0.75x -1.125

y = 3/4x - 9/8    as common denominators of 1125/1000 is 9/8 as we divide by  125 into the fraction as we start at 250 and check its half just like when finding common denominators we 1/4 the lower number and see if we can find its half or its double etc with the other num er as first step for 3sf numbers.

5 0
3 years ago
I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?
Pavel [41]

Answer:

$2326

Step-by-step explanation:

I have $1000 invested in a coin worth $43000. If the coin reaches $100000 how much will I have invested?

To solve the above question, we have:

$43,000 = $1000

$100,000 = x

Cross Multiply

43000 × x = 100,000 × 1000

x = 100000 × 1000/43000

x = $2325.5813953

Approximately = $2326

Therefore, If the coin reaches $100000 you would have invested $2326

8 0
3 years ago
Mary can paint a house by herself in 12 hours. john can paint a house by himself in 16 hours. how long would it take them to pai
QveST [7]
1/12+1/16=1/n
4/48+3/48=1/n
7/48=1/n
48=7n
n=48/7 hours to paint the house if they worked together
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5 0
3 years ago
By what number should ( -5)(-1) be multiplied so that the product may be equal to (10)(-1)​
Rudik [331]
Answer: -2

(-5)(-1)x=(10)(-1)
5x = -10
x = -2
7 0
2 years ago
Idk sooo please help
borishaifa [10]

Answer:

20 points

Step-by-step explanation:

Points:

  • 21, 13, 14 and x for the last game

Average:

  • (21+13+14+x) / 4 = 17
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  • 48 + x = 68
  • x = 68 - 48
  • x = 20

They must score 20 points

6 0
3 years ago
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