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3 years ago

Find the nth term of this number sequence 1, 10, 19, 28, ... Pls help

Mathematics

2 answers:

dalvyx [7]3 years ago

8 0

Answer:

The nth term = 9n - 8.

Step-by-step explanation:

This is an Arithmetic Sequence with common difference d =

10 - 1 = 19 - 10 = 28 - 19 = 9.

The nth term an = a1 + (n - 1)d where a1 = the first term and d = the common difference.

So the nth term = 1 + (n - 1)9

= 1 + 9n - 9

= 9n - 8.

kherson [118]3 years ago

5 0

Answer:

9n - 8

Step-by-step explanation:

The sequence is arithmetic since the difference between consecutive terms is common

d = 10 - 1 = 19 - 10 = 28 - 19 = 9

The n th term of an arithmetic sequence is

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = 9, thus

$a_{n}$ = 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence

$a_{n}$ = 9n - 8

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qwelly [4]

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3 years ago

The automobile assembly plant you manage has a Cobb-Douglas production function given by p = 10x^0.2 y^0.8

Zepler [3.9K]

Answer:

The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

This value of Δy is not constant for a constant increase in production.

Step-by-step explanation:

We know that the production function is $p = 10x^{0.2} y^{0.8}$ , and in the current situation $p=1200$ and $x=130$ .

With this information we can calculate the actual budget level:

$p_0 = 10x^{0.2} y^{0.8}\\\\1200=10*130^{0.2} y^{0.8}\\\\1200=26.47*y^{0.8}\\\\y=(1200/26.47)^{1/0.8}=45.33^{1.25}=117.62$

The next year, with an increase in demand of 100 more automobiles, the production will be $p_1=1300$ .

If we calculate y for this new situation, we have:

$y_1=(\frac{p_1}{10x^{0.2}} )^{1.25}=(\frac{1300}{26.47} )^{1.25}=49.10^{1.25}=130$

The budget for the following year is 130.

The variation needed for the daily buget to follow the increase in production for the first year is 12.38 $/year.

$\Delta y=y_1-y_0=130.00-117.62=12.38$

This value of Δy is not constant for a constant increase in production.

3 0

3 years ago

It takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high

love history [14]

Answer:

12

Step-by-step explanation:

Well, I am pretty sure you are looking for the length.

Since area = length x width, I would say that you could divide as well.

120 = 10 x 12

I am pretty sure the length is 12.

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3 years ago

A 3-ounce serving of tuna provides 21 g of protein use equivalent ratios to find how many grams of protein are in 9 ounces of tu

cluponka [151]

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3 years ago

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BabaBlast [244]

Answer:

The first factor is itself the sum of two terms
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Step-by-step explanation:

The math symbols of the expression include parentheses, a plus sign, and a multiplication symbol. The order of operations tells you to do the "plus" operation inside parentheses first. The numbers involved in a "plus" operation, or sum, are called "terms." The result is their sum.

Then the second operation in the order of operations is to do the multiplication of the sum on the left of the multiplication symbol by the number to the right of the multiplication symbol. The numbers involved in multiplication are called "factors". The result of multiplication is called a "product."

Matching up this vocabulary with what you see, you realize ...

the first factor is the sum of two terms
the end result of evaluating the expression is the product of two factors

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3 years ago