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harina [27]
3 years ago
12

The first two numbers in a sequence h are h(1) = 2 and h(2) = 6.

Mathematics
1 answer:
Ghella [55]3 years ago
3 0

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

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Can a negative sign be used to describe a dilation?
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Answer:

Not on a coordinate plane

Step-by-step explanation:

We must use absolute value because lengths should always be positive you cannot have a negative length or distance.

4 0
3 years ago
Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of t
kati45 [8]

Question:

Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?

Answer:

1/72

Step-by-step explanation:

<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is  1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is  1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>


<em>I had this same question on my test!</em>


<em>Hope this helped! Good Luck! ~LILZ</em>


3 0
3 years ago
Evaluate when a = 8 and b = -4 a(a - b) ÷ (a + b) A) -12 B) 8/3 C) 10 D) 24 what the answer
puteri [66]

Answer:

Step-by-step explanation:

a = 8 and b = -4 a(a - b) ÷ (a + b)

A) -12

B) 8/3

C) 10

D) 24

ANSWER IS D) 24

7 0
3 years ago
What is an out lire in math
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A value that "lies outside" (is much smaller or larger than)
3 0
3 years ago
Maria invests $6,154 in a savings account with a fixed interest rate of 8% compounded continuously. What will the account balanc
Vitek1552 [10]

Answer:

$13,695.98

Step-by-step explanation:

We can use the continuous compound interest formula to solve:

A = Pe^{rt}

<em>P = principal amount</em>

<em>r = interest rate (decimal)</em>

<em>t = time (years)</em>

<em />

First, lets change 8% into a decimal:

8% -> \frac{8}{100} -> 0.08

Now, lets plug in the values:

A=6,154e^{0.08(10)}

A=13,695.98

The account balance after 10 years will be $13,695.98

3 0
3 years ago
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