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GalinKa [24]
3 years ago
9

Here are the first four terms of an arithmetic sequence.

Mathematics
1 answer:
klemol [59]3 years ago
8 0

Answer:

nth term = 7n - 2

Step-by-step explanation:

The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below

The nth term of the arithmetic sequence form can be represented as follows.

nth = a + (n - 1)d

where

a = first term

d = common difference

Therefore,

a = 5

d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7

nth = a + (n - 1)d

nth term = 5 + (n - 1)7

nth term = 5 + 7n - 7

nth term = 7n - 2

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Many freeways have service (or logo) signs that give information on attractions, camping, lodging, food, and gas services prior
Ne4ueva [31]

Answer:

H0 : μd = 0

H1 : μd ≠ 0

Test statistic = 0.6687 ;

Pvalue = 0.7482 ;

Fail to reject H0.

Step-by-step explanation:

H0 : μd = 0

H1 : μd ≠ 0

Given the data:

Before: 15 26 66 115 62 64

After: 16 24 42 80 78 73

Difference = -1 2 24 35 -18 -9

Mean difference, d ; Σd / n

d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))

d = Σx / n = 33 / 6 = 5.5

Test statistic = (d / std / sqrt(n))

std = sample standard deviation = 20.146

Test statistic = 5.5 ÷ (20.146/sqrt(6))

Test statistic = 0.6687

The Pvalue :

P(Z < 0.6687) = 0.7482

At α = 0.05

Pvalue > α ; Hence we fail to reject H0

The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.

5 0
3 years ago
30PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Yuliya22 [10]

1)

a)

P = 1500, r = 4% = 0.04, n = 5

A = 1500 (1+0.04)^5= 1824.98

He shall have $1824.98 in his account after 5 years

b)

Here P = 1500 , r = 4% = 0.04, n = 5 but simple interest

So

I=PRn= 1500(.04)(5)=300

Interest = $300

Amount in his account after 5 years = 1500 + 300 = $1800

c)

First one shall yield a better income and by 1824.98-1800 = $24.98

2)

a)

P= $2000, r = 8% = 0.08 so quaterly = 0.08/4 = 0.02, n = 1 year

A = P(1+r)^{4n}  =2000(1+0.02)^4 =2164.86

There shall be $2164.86 after 1 year

b)

P = 2000, r= 8%=0.08 and n = 1 for simple interest

I=PRn = 2000(0.08)(1)=160

Amount after 1 year shall be 2000 + 160= $2160

c)

First option is a better option.

The difference is 2164.86 - 2160 = $4.86

3)

a)

Bank A

P= 3200, r = 3.5%= 0.035, n = 3 years for simple interest

I =3200(0.035)(3)=336

Interest earned in Bank A = $336

b)

Bank B

P = 3200, r = 3.4% = 0.034, n= 3

A= P(1+r)^n=3200(1+0.034)^3=3537.62

Interest earned = 3537.62 - 3200 = $337.62

c)

Tyler must choose Bank B as it fetches greater interest

d)

The difference in interest = 337.62 - 336 = $1.62


4 0
3 years ago
6=2-8 is this equation correct?
nirvana33 [79]

Answer:

8-2=6

Step-by-step explanation:

:)

8 0
2 years ago
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Jill scored 18 times during one basketball game. She scored a total of 30 points, two for each field goal and one for each free
levacccp [35]
12 field goals and 6 free throws

4 0
3 years ago
Q1.
jonny [76]

Answer:

Step-by-step explanation:

You cross multiply. So it's 14 times 250 divided by 115.

That's how much you would add to the 250 mixture.

14 times 250 is 3500, Divided by 150=  23 and a third.

It does say round to the nearest gram.

So we had to add about 23 g to 250 g of flour.

3 0
1 year ago
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