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3 years ago

here are the first four tearms of a sequence 1, 11, 22, 37, find and express in terms of n the nth term of this sequence

Mathematics

1 answer:

Umnica [9.8K]3 years ago

7 0

2n² + n + 1

<u>Explanation:</u>

The sequence is 4, 11, 22, 37

Difference between: 7, 11, 15

The first differences are 7, 11, 15, and the second differences are 4.

Since half of 4 is 2, then the first term will be 2n^2.

Subtracting 2n² from the sequence gives 2, 3, 4, 5 which has nth term n + 1.

Therefore the final answer is 2n² + n + 1

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Cammie can mow 1/2 acre in 25 minutes. If her rate is constant, Cammie says she can mow 1 1/4 acres in one hour. Is Cammie corre

Sergeu [11.5K]

Answer: No, Cammie is not correct. She can mow $1\frac{1}{5}\ acres$ in one hour (See explanation).

Step-by-step explanation:

Convert the mixed number to an impoper fraction:

1. Multiply the whole number part by the denominator of the fraction and add the product to the numerator.

2. The denominator does not change.

Then:

$1\frac{1}{4}=\frac{(1*4)+1}{4}=\frac{5}{4}$

Let be "x" the acres Cammie can mow in one hour.

You know that she can mow $\frac{1}{2}\ acre$ in 25 minutes, then you can set up the following proportion (Remember that 1 hour has 60 minutes):

$\frac{\frac{1}{2}}{25}=\frac{x}{60}$

Solving for "x", you get:

$\frac{\frac{1}{2}}{25}=\frac{x}{60}\\\\(60)(\frac{1}{50})=x\\\\x=\frac{6}{5}$

Convert from improper fraction to mixed number:

1. When you divide 6 by 5, the quotient is 1. This will be the whole number part.

2. The remainder is 1. This will be the numerator.

3. The denominator does not change.

Then:

$x=1\frac{1}{5}$

Therefore, she can mow $1\frac{1}{5}\ acres$ in one hour.

3 0

3 years ago

Find the measure of GE¯¯¯¯¯¯¯¯. A. 14 B. 20 C. 15 D. 16

julsineya [31]

Answer:

D. 16

Step-by-step explanation:

$GH^2 = GF \times GE$

$12^2 = 9 \times (9+x - 2)$

$144= 9 \times (7+x)$

$\frac{144}{9}= (7+x)$

$16= 7+x$

$16-7=x$

$9=x$

GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2

GE = 16

6 0

4 years ago

Mr. Rhee traveled 90 miles at 60 miles per hour to visit his parents on the way home he was caught in heavy traffic so that the

Sever21 [200]

Wouldn’t it be 45 mph

7 0

3 years ago

which angle has the same measure as the dehedral angle formed by the orange face and the purple rectangle

horrorfan [7]

Answer: Correct

Step-by-step explanation:

3 0

4 years ago

-6 + 16 + 6 + (-16) =

baherus [9]

Then answer is zero.

6 0

4 years ago

Read 2 more answers