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storchak [24]
2 years ago
14

Find an expression for the nth term (tn) in each of the following sequence:

Mathematics
2 answers:
AveGali [126]2 years ago
7 0

Answer: t_n = 4n - 2

===========================================

Work Shown:

The first term is a = 2 and the common difference is d = 4, since we're adding 4 to each term to get the next term.

t_n = \text{nth term of arithmetic sequence}\\\\t_n = a+d(n-1)\\\\t_n = 2 + 4(n-1)\\\\t_n = 2 + 4n - 4\\\\t_n = 4n - 2

Which is the answer.

--------------------------------

If you were to plug in say n = 3, then we get

t_n = 4n - 2\\\\t_3 = 4(3) - 2\\\\t_3 = 12 - 2\\\\t_3 = 10

showing that 10 is the third term, which matches with what the original sequence shows. I'll let you check the other values of n to fully confirm the answer.

MissTica2 years ago
6 0

Answer:

The answer is 34

Step-by-step explanation: I just have a big brain

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An average chicken breast weighs 174 g, or about 6 ounces (oz). But sizes vary from smaller cuts at around 4 oz, to larger ones at 8 to 10 oz. There's no right or wrong choice here. It really depends on what you're cooking and how much chicken you want.

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Solve the inequality 4-5<25
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2 years ago
The Capacity of a 1 cm cube is 1 mL. How many 1 cm ice cubes do you need to melt to fill a 1.5 L jar.
Svetach [21]

1500 ice cubes need to fill 1.5 L jar

Solution:

1 cm = 1 ml

Capacity of ice cube = 1 cm

                                   = 1 ml

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1 L = 1000 ml

1.5 L = 1.5 × 1000

       = 1500 ml

Capacity of jar = 1500 ml

$\text{Number of ice cubes} =\frac{\text{Capacity of ice cube}}{\text{Capacity of jar}}

                                $=\frac{1500}{1}

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8 0
3 years ago
W = 3x + 7y solve for y
mario62 [17]

Answer:

The value of the equation y=\frac{W-3x}{7}.

Step-by-step explanation:

Consider the provided equation.

W = 3x + 7y

We need to solve the provided equation for y.

Subtract 3x from both side.

W-3x= 3x-3x+ 7y

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Divide both sides by 7.

\frac{7y}{7}=\frac{W-3x}{7}

y=\frac{W-3x}{7}

Hence, the value of the equation is y=\frac{W-3x}{7}.

8 0
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