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ivolga24 [154]
2 years ago
15

Find the common ratio of the geometric sequence 5, -15, 45,

Mathematics
1 answer:
Lelu [443]2 years ago
8 0

Answer:

-3

Step-by-step explanation:

The common ratio of a geometric sequence is the number that each term of the sequence is multiplied by. This means that the the previous term is multiplied by the common ratio to get the current term. The common ratio can also be used to create a function that can predict future terms.

To find the common ratio of this sequence, divide a term by the previous term. For example, -15/5. This gives the answer, -3. Dividing the terms allows us to figure out what factor is being multiplied by in the sequence.

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Using the factorised trinomial <img src="https://tex.z-dn.net/?f=%28n-2%29%284n-7%29" id="TexFormula1" title="(n-2)(4n-7)" alt="
andrew-mc [135]
4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.

Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.

Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.

Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime

Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.

For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.

Therefore we are left with n = 1 and n = 3; only two values of n.</span>
5 0
3 years ago
Define and name two pairs of corresponding angles
Inga [223]

Answer:

2 corresponding to 6

3 corresponding to 7

Step-by-step explanation:

Corresponding angles just make the letter F

4 0
3 years ago
The cost of 5 DVDs and a $15
erastovalidia [21]

Answer:

$3

Step-by-step explanation:

the cost of 5 DVDs and a $15

you didn't ask anything

6 0
2 years ago
Read 2 more answers
It represents equal parts of a whole or a collection?
Alina [70]

Answer:

Fraction

Step-by-step explanation:

5 0
3 years ago
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In a sample of 77 children , the mean age as at which they first began to combine words was 16.51 months
astraxan [27]

Answer:

Mean age = 1271.27

Step-by-step explanation:

No of children = 77

The age at which children first began to combine words = 16.51 months

Mean age = No of children × age at which children first began to combine words

                = 77 × 16.51

                 = 1271.27

Mean age = 1271.27

7 0
3 years ago
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