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harkovskaia [24]
3 years ago
13

Write a formula for the general term (the nth term) of the arithmetic sequence to find the sixth term of the sequence with the g

iven first term and common difference.

Mathematics
1 answer:
Ainat [17]3 years ago
6 0

Answer:

a₆ = 54

Step-by-step explanation:

The general term of an arithmetic sequence is: $ a_1, a_1 + d, a_1 + 2d, a_1 + 3d, \hdots $

where, $ a_1 $ is the first term and

$ d $ is the common difference.

The $ n^{th} $ term of the sequence is given by $ a_n = a_1 + (n - 1)d $.

Therefore, $  a_6 = a_1 + (6 - 1)d  = a_1 + 5d $

$ \implies a_6 = 14 + 5(8) = 14 + 40 $

∴ a₆ = 54

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Ben left a 20% tip on his bill at a restaurant. The bill was $40
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Answer:

Tip: $8

Total:$48

Step-by-step explanation:

Multiply 40 by 20% to find out how much money he gave for tip.

Add the amount of tip, 8, to $40 find out the total amount of money he spent.

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3 years ago
At the end of the season, Lawrence softball team has to win-to-loss ratio 5:2. What is the ratio of wins to games played?
Sergeeva-Olga [200]
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2 years ago
What is the equation for the number of amoebas an hour
Rufina [12.5K]

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Step-by-step explanation: GOOD MORNING.

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1 year ago
Read 2 more answers
9.2 An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a sta
VladimirAG [237]

Answer:

765,795 = 96%

Step-by-step explanation:

confidence interval = 0.04  

The Za/2 theorem = 1/2 = 0.04/2 = 0.02= /x = 720z

If ; 0.02 = 2.05  then the interval is 780-2.05 x 40/√30 x 780+2.05 x 30/√30 = 765,795 = 96%

We see 40/ √30 which is found in equation of finding the sample mean at point /x = 720z

σ 40/ n√30 = 7.3029674334 and is simply a fraction of /x 720z

By normal distribution we find

The 96% confidence interval for the population mean of all bulbs = 765,795

As 765, x 1.04 = 795 = 765, 795

To find Sampling mean.

The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).

Confidence Level z*-value

80% 1.28

90% 1.645 (by convention)

95% 1.96

96% 2.05

98% 2.33

99% 2.58

3 0
3 years ago
Expand &amp; simplify<br> 2<br> (<br> b<br> +<br> 4<br> )<br> +<br> 5<br> (<br> b<br> −<br> 3<br> )
Usimov [2.4K]

Answer:

7b - 7

Step-by-step explanation:

You can use distributive property which is x (a + b) = x*a + x*b and x (a - b) = x*a - x*b. Therefore, the expression is 2*b + 2*4 + 5*b - 5*3 which is:

2b + 8 + 5b - 15, which is, if you combine like terms:

7b - 7

8 0
2 years ago
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