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geniusboy [140]
3 years ago
10

Find the nth term of the sequence:23, 19, 13, 5, -5.......​

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

Answer:

Step-by-step explanation:

Given the sequence :

23, 19, 13, 5, -5.......

From the sequence, the common difference is unequal, as their is a constant Increment in the difference after successive numbers.

19 - 23 = -4

13 - 19 = -6

5 - 13 = -8

-5 - 5= -10

Hence an constant difference of - 2 after each successive difference.

Hence, this is a quadratic sequence

With the formula

an² + bn + c

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There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45
4vir4ik [10]
I'm only going to complete Part B. The other two are a bit easier and I believe you can do it! :D
Neighborhood A
----------------------------
Year 1: 30 increased by 20% = 6 more homes.
Year 2: 36 increased by 20% = 7.2 more homes ... 7 more homes. You cannot round in these types of problems.
Year 3: 43 increased by 20% = 8.6 ... 8 more homes.
Year 4: 51 increased by 20% = 10.2 ... 10 more homes.
Year 5: 61 increased by 20% = 12.2 ... 12 more homes.
At the end of 5 years Neighborhood A will have 73 homes in total.

Neighborhood B
---------------------------
Year 1: 45 +3 = 48
Year 2: 48 +3 = 51
Year 3: 51 +3 = 54
Year 4: 54 +3 = 57
Year 5: 57 +3= 60 homes
After 5 years Neighborhood B will have 60 homes.
Hope this helped! I will do Part A or Part C later if I have time and you still need assistance. 
3 0
2 years ago
Which of the following is an arithmetic sequence?
masha68 [24]

Answer:

B

Step-by-step explanation:

And arithmetic sequence is a sequence in which the difference between each of the numbers are constant.

It is not A, because the difference between 3 and 9 is positive 6, and the difference between 9 and 81 is positive 72.

It is not C, because the difference between 4 and 1 is -3, and the difference between 1 and 4 is positive 3.

It is not D, because the difference between 2 and -2 is -4, and the difference between -2 and 2 is positive 4.

And it is B because the numbers maintain a constant difference between each other, which is -3.

3 0
3 years ago
Read 2 more answers
Find the length of the short leg of a 30-60-90 triangle if the long leg is 3cm
antoniya [11.8K]

Answer:

Short leg = √3 cm

Step-by-step explanation:

the opposite angle of long leg is 60°

hypotenuse : x

sin 60° = 3/x = √3 / 2

x = (3 x 2) / √3 = 2√3

short leg length (s)

Cos 60° = 1/2 = s / x = s / 2√3

s = √3

7 0
3 years ago
What is 0.5333333333 as a fraction
Inga [223]
x=0.5\overline{3}\\
10x=5.\overline{3}\\
100x=53.\overline{3}\\
100x-10x=53.\overline{3}-5.\overline{3}\\
90x=48\\
x=\dfrac{48}{90}=\dfrac{8}{15}
6 0
3 years ago
Read 2 more answers
Whats is the prouduct for 4/5 3/7​
Makovka662 [10]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>12/35</em>

▹ Step-by-Step Explanation

\frac{4}{5} * \frac{3}{7} \\\\= \frac{12}{35}

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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5 0
2 years ago
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