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Over [174]
3 years ago
5

A sequence has a second term of 1 and a common difference of -3. The fifth term of the sequence is _____. -11 -8 -5 10

Mathematics
2 answers:
kondor19780726 [428]3 years ago
5 0

Answer:

- 8

Step-by-step explanation:

The terms in an arithmetic sequence ar

a, a + d, a + 2d, ...... , a + (n - 1)d

Each term in the sequence is obtained by adding the common difference (d) to the previous term, that is

a₂ = 1

a₃ = a₂ + d = 1 - 3 = - 2

a₄ = a₃ + d = - 2 - 3 = - 5

a₅ = a₄ + d = - 5 - 3 = - 8

guapka [62]3 years ago
4 0

Answer:

-8

Step-by-step explanation:

Let the sequence be X.

Xn=a+(n-1)*d

where, n: nth term

a: first term

d: common difference

Given, X2=1

Then, 1=a+(2-1)*-3

or,a=1+3=4

So,X5=4+(5-1)*-3

or,X5=4+(4*(-3))

or,X5=4-12=-8

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fiasKO [112]
Answer: x^2 - 14x + 49

Explanation:

1) Divide the coefficient of x by 2:

14 / 2 = 7

2) so you have to add 7^2 = 49

x^2 - 14x + 49

3) that trinomial is equivalent to:

=> (x - 7)^2

4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2

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3 years ago
Identify the initial amount a and the growth factor b in the exponential function.
alina1380 [7]

Given the equation A (x) = 30 x 8.3 ^x, we can get the initial amount of A when x is equal to zero. Therefore:

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A (0) = 30

In this case the equation grows by 8.3 times as x increases. Therefore the growth factor is 8.3.

Answers:

initial amount = 30

growth factor = 8.3

The answers are not in the given choices. I believe you are giving the wrong equation. If the correct equation here is:

A (x) = 680 x 4.3 ^x 

Then the answers are:

initial amount = 680

growth factor = 4.3

The answers are now in the choices given.

7 0
3 years ago
8 friends attend a read a thon. they take turns reading for a total of 3 hours. If each friend reads for the same amount of time
viva [34]

(3 hours) / (8 friends)  =  <em>3/8</em> hour per friend
4 0
3 years ago
Write 1.375x10-6 in standard form
liq [111]
1 + .3 +.07+.005 x 10 - 6
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3 years ago
A 180 ft long board is cut into 3 pieces. The second piece of board is twice as long as the first. The third piece of board is s
Ad libitum [116K]

Answer:

Step-by-step explanation:

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9 x=180

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8 0
3 years ago
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