All categories

2 years ago

Find the 55th term in the following arithmetic sequence -102, -98, -94, -90

Mathematics

1 answer:

ololo11 [35]2 years ago

6 0

Answer:

114

Step-by-step explanation:

-102,-98,-94,-90.......

lets give the numbers a name : T ,

and the number order is 1, 2, 3, 4,5....n

we can see :

Tn=T(n-1)+4;

Tn=T(1)+(n-1)4,T1= -102

now n=55

T(55)= -102+(55-1).4=114

You might be interested in

Marin writes the functions m(x) = StartFraction 3 x Over x + 7 EndFraction and n(x) = StartFraction 7 x Over 3 minus x EndFracti

Svetlanka [38]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A pail contained 3.68L of water more than a bottle. After Bill poured away 1.2L of water from the pail, the pail contained 3 tim

julsineya [31]

For the sake of simplicity, let us say that the bottle contains x liters of water.

The pail originally contained x+3.68 L of water
After pouring out 1.2L, the pail contains x+(3.68-1.2)L or x+2.48 L

(a) How much more water did the pail contain than the bottle in the end?
Since the bottle contains x L of water, the pail (containing x+2.48 L of water) contains (x+2.48) - x more liters of water than the bottle or "the pail contained 2.48 L of water more than the bottle"

(b) How much water did the bottle contain?
We are told that after pouring the 1.2L of water out, the pail contained 3 times as much water as the pail. Therefore, 3x = x+2.48. Subtracting x from both sides gives us 2x = 2.48. Dividing both sides by 2 gives us x = 1.24L

7 0

2 years ago

At a college, 72% of courses have final exams and 46% of courses require research papers. Suppose that 31% of courses have a res

beks73 [17]

Answer:

0.25

Step-by-step explanation:

72% of courses have final exams and 46% of courses require research papers which means probability of 0.72 for courses that have final exams and 0.46 for courses that require research papers.

31% of courses have a research paper and a final exam, which means probability of 0.31 for both courses with exams and research papers, using Venn diagram approach, find picture attached to the solution.

P(R or E) = P(R) + P(E) - P(R and E), which gives:

P(R or E) = 0.15 + 0.41 - 0.31

P(R or E) = 0.25.

6 0

2 years ago

A 2 foot tall dog casts a 3 foot shadow while at the same time a cat casts a one foot shadow. How tall is the cat? Enter a

Snowcat [4.5K]

Answer:

The cat is 2/3 feet tall

Step-by-step explanation:

3ft shadow = 2ft tall

1ft shadow = 2/3 ft tall

8 0

2 years ago

Read 2 more answers

A rectangle has an area of 256 cm 2 . it has a width that is 48 cm shorter than 4 times its length. what is the rectangle's leng

AveGali [126]

Let
x--------> the rectangle's length
y-------> the rectangle's width

we now that
Area of rectangle=x*y
Area=256 cm²
256=x*y-------> equation 1

y=4x-48------> y=4x-48------> equation 2

substitute equation 2 in equation 1

256=x*[4x-48]-----> 256=4x²-48x
4x²-48x-256=0

using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm

is a square

the answer is
the rectangle's length is 16 cm

8 0

2 years ago