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Makovka662 [10]
4 years ago
15

Find the 20th term in the following arithmetic sequence 12,15,18,21....

Mathematics
1 answer:
svetlana [45]4 years ago
7 0

Answer:

Step-by-step explanation:

The formula for the arithmetic sequence is

a_{n}=a_{1}+d(n-1), where

n is the position of the number you are looking for, a₁ is the first number in the sequenc, and d is the arithmetic difference (the difference between each number in the sequence).  For us:

n = 20,

a₁ = 12, and

d = 3.  ∴

our formula is this one:

a_{20}=12+3(20-1) and

a_{20}=12+3(19) and

a_{20}=12+57 so

a = 69

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an aeroplane is flying with a help of 300 km per hour who much distance will it cover in 160 minute ​
uysha [10]

Answer:

800 km

Step-by-step explanation:

Does the plane have a speed of it's own?  I don't see it, so will assume the plane is simply travelling at 300 km/h.

(300 km/hr)*(1 hr/60 min) = 5 km/min

(5 km/min)*(160 min) = 800 km in 160 minutes

4 0
2 years ago
18. The table shows the amount of money in a savings account after several weeks
Tcecarenko [31]

Answer:

a. Arithmetic

b. a_{n} = a_{n-1} + 15

c. a_{n} = 15n + 125

Step-by-step explanation:

A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.

In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is ARITHMETIC ✔️

The recursive formula will be the following: a_{n} = a_{n-1} + 15

The explicit formula is the following: a_{n} = 15n + 125

7 0
4 years ago
Can someone help me with this?
yan [13]
I'm assuming you want the total surface area.

This is a trapezoidal prism. The bases are the parallel faces running horizontal (parallel to the ground) and they are congruent trapezoids. The lateral sides are rectangles.

-------------------------------------------------

Lateral Faces:
The back face (hidden from view) is a rectangle that is 12 inches by 3 inches, so it has an area of 12*3 = 36 sq inches

The front slant faces on the left and right are each 3*5 = 15 sq inches in area

The front center lateral face has area of 6*3 = 18 sq inches

The total lateral surface area is 15+18+15+36 = 84 sq inches

-------------------------------------------------

The bases are each the same trapezoid. The trapezoid has two parallel sides of 12 and 6 inches. Call this b1 and b2. The height of the trapezoid is h = 4. Imagine the trapezoid is laid flat in a 2D perspective instead of a 3D one.

The area of one trapezoid is...
A = h*(b1+b2)/2
A = 4*(12+6)/2
A = 4*(18)/2
A = 72/2
A = 36

So the area of both base faces combined is 2*36 = 72

-------------------------------------------------

The total surface area is then found by adding the total lateral surface area (84) and the total base area (72) to get 84+72 = 156

Final Answer: 156 square inches

4 0
3 years ago
Gus wrote the following riddle I am a number between 30 and 60 my ones digit is three I am a prime number
Anika [276]
Numbers between 30 and 60 with a ones digit of 3 are 33, 43, and 53. Both 43 and 53 are primes, so this answer is flawed.
3 0
4 years ago
Change 0.307 to a percent
Nookie1986 [14]
It would be 30.7% because when you change a decimal to a percent, the decimal point moves 2 places to the right. For a percent to a decimal, move the decimal point 2 places to the left
4 0
3 years ago
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