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Ad libitum [116K]
3 years ago
8

Write an explicit formula for an, the nth term of the sequence 31, 37,43, ....

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

Answer:

The formula for the nth term of this sequence is: 31 + (n-1)X6

Step-by-step explanation:

This is an arithmetic sequence (ie. each term is the last term with a fixed value added to it).

T1 =31

T2 = 37 = T1 + 6 = 31 + 6

T3 = 43 = T2 + 6 = 31 + 6 + 6 = 31 + 6X2

…

In general, the nth term is 31 + 6(n-1)

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In January, the depth of a lake was 1,008 feet. In August, the depth of the lake was 806.4 feet. What is the percentage decrease
Gwar [14]

Answer: 20%

Step-by-step explanation:

First you have to take 1008 and subtract 806.4. Once you get that answer you put it into a division problem. So answer over the first number, being 1008. Then multiply that answer by 100. and that is your percentage.

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4 years ago
A rectangle has a diagonal of 5 feet. If one of the sides of the rectangle is 3 feet, what is the
saul85 [17]

Step-by-step explanation:

The other side is given by

5 {}^{2}  - 3 ^{2}

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3 years ago
Which is an example of energy that is moving?
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C. football flying through a goal tee

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3 years ago
Read 2 more answers
16h - 9 = -13 - 6h - 18<br><br> h=
densk [106]

Answer:

h = -1

Step-by-step explanation:

Solve for h:

16 h - 9 = -6 h - 31

Add 6 h to both sides:

16 h + 6 h - 9 = (6 h - 6 h) - 31

6 h - 6 h = 0:

16 h + 6 h - 9 = -31

16 h + 6 h = 22 h:

22 h - 9 = -31

Add 9 to both sides:

22 h + (9 - 9) = 9 - 31

9 - 9 = 0:

22 h = 9 - 31

9 - 31 = -22:

22 h = -22

Divide both sides of 22 h = -22 by 22:

(22 h)/22 = (-22)/22

22/22 = 1:

h = (-22)/22

The gcd of -22 and 22 is 22, so (-22)/22 = (22 (-1))/(22×1) = 22/22×-1 = -1:

Answer:  h = -1

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3 years ago
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A bank offers 2.12 interest compounded annually for investing money in a savings account, you open an account with $300. How muc
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Answer:

\large \boxed{\$70.02}

Step-by-step explanation:

The compound interest formula is

A = P\left(1 + \dfrac{r}{n}\right)^{nt}

Data:

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t = 10 yr

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A = 300(1+ 0.0212)¹⁰

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2. Interest

I = A - P = 370.02 - 300.00 = 70.02

\text{The interest is $\large \boxed{\mathbf{\$70.02}}$}

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3 years ago
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