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3 years ago

What is the rule for the sequence with the first four terms below?

Mathematics

1 answer:

inessss [21]3 years ago

3 0

Answer: f (x) = 0.75 minus 0.25x

Step-by-step explanation:

In an arithmetic sequence, the consecutive terms differ by a common difference.

The formula for determining the nth term of an arithmetic sequence is expressed as

an = a1 + (n - 1)d

Where

a1 represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a1 = 0.5

d = 0.25 - 0.5 = - 0.25

n = 25

The rule for the sequence is

an = 0.5 + (n - 1)-0.25

an = 0.5 - 0.25n + 0.25

an = 0.5 + 0.25 - 0.25n

an = 0.75 - 0.25n

Substituting f(x) for an and x for n, it becomes

f(x) = 0.75 - 0.25x

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The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What i

In-s [12.5K]

Answer:

$8.182X10^8 $pounds$

a=8.182 and b=8

Step-by-step explanation:

Weight of the Empire State Building = $7.3X 10^8$ pounds.

Weight of the One World Trade Center building= 88,200,000 pounds.

= $8.82 X 10^7$

The addition of the two:

$=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds$

Comparing with the form: $aX10^b$

a=8.182 and b=8

4 0

3 years ago

A recipe calls for 1 ½ cups of flour, 2/3 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings. A) How ma

Goryan [66]

A) How many cups of flour are there per serving?

1 ½ cups of flour --------6 servings
? cups of flour ------- 1 serving

1 ½
------------
6

= 3/2 x 1/6
= 1/4

answer: 1/4 cups of flour per serving

B) how many total cups of sugar(white and brown) are there per serving?
total white and brown: 2/3 + 1/3 = 3/3 = 1 cups (combine)

1 cup of sugar (white and brown) --------6 servings
? cups of sugar (white and brown) ------ 1 serving

1
----- = 1/6
6
answer: 1/6 cups of sugar (white and brown) per serving

 (c) Suppose you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?

3/2 cups of flour --------6 servings
? cups of flour -----------9 servings

9 * 3/2
-----------
6

= (13 1/2) / 6
= 2 1/4

2 1/4 ( 9 servings) - 1 1/2(6 servings) = 3/4 cups

answer: you need 3/4 more cups of flour

6 0

3 years ago

Read 2 more answers

Use the equation v = StartFraction 10 Over p EndFraction to determine the pressure when the volume is 10 liters. A. 10 c. 100 b.

Galina-37 [17]

The value of the pressure is 1 when the value of volume is 10 liters, the correct option is D.

<h3>What is the pressure?</h3>

Pressure is defined as the physical force exerted on an object.

The force applied is perpendicular to the surface of objects per unit area.

Given

The equation is

$\rm V=\dfrac{10}{p}$

Where the v is the volume and p is the pressure.

The value of p when the value of volume v is 10 liters is;

$\rm V=\dfrac{10}{p}\\\\\rm 10=\dfrac{10}{p}\\\\P = \dfrac{10}{10}\\\\P=1$

Hence, the value of the pressure is 1.

To know more abour pressure click the link given below.

brainly.com/question/17799294

6 0

2 years ago

What is the radius of the circle who’s equation is x^2 + y^2 = 9

Svetllana [295]

Answer:

r=3

Step-by-step explanation:

The equation of a circumference is $(x-a)^2+(y-b)^2=r^2$ .
Then , in this case $r^2=9$ , and then to know the value of r we just simply have to calculate the square root of 9, which is 3.

8 0

4 years ago

I need help on 13 and 15 that all

mihalych1998 [28]

Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What is this number expressed in scientific notation?

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3 years ago