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sergejj [24]
3 years ago
9

Given the following sequence, find the 23rd term: 3, 5, 7, 9, 11, . . .

Mathematics
2 answers:
denis-greek [22]3 years ago
6 0

Answer:

B. 47

Step-by-step explanation:

The sequence goes up by 2 each time, so to find the nth term, start with 2n.

For n = 1, 2n = 2(1) = 2, but we need 3, so modify to 2n + 1.

For n = 1, 2n + 1 = 2(1) + 1 = 2 + 1 = 3

For n = 2, 2n + 1 = 2(2) + 1 = 4 + 1 = 5

For n = 3, 2n + 1 = 2(3) + 1 = 6 + 1 = 7

Try n = 4 and 5, and you will get 9 and 11, respectively.

2n + 1 works for any term n, where n is natural number.

For the 23rd term, n = 23.

2n + 1 = 2(23) + 1 = 46 + 1 = 47

Answer: B. 47

sashaice [31]3 years ago
5 0

Answer:

B. 47

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

a1 =3   (it is the first term)

We can find the common difference by taking the second term and subtracting the first term

5-3 =2

d=2

n = the term number we are looking for

an = 3 + 2(n-1)

We are looking for the 23rd term so n=23

a23 = 3 +2(23-1)

      = 3 +2(22)

      = 3+44

      = 47

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Solve √(3x+7)+2√(x-8)=0.
laiz [17]

Answer:

The solution to this question is 39

Step-by-step explanation:

Given that :

√(3x+7)+2√(x-8)=0.    

√(3x+7)=-2√(x-8)           (i)

square of the equation (i)

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we know that √a*√a=(√a)^2=a So,

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32+7=4x-3x  exchange the value.

39=1x

x=39.

4 0
3 years ago
30.) Find the value of y: y/5+(-8)=-5<br>a. y = 5<br>b. Y= 10<br>c. Y = 15<br>d y = 20​
zheka24 [161]
The answer is c. Y=15
8 0
3 years ago
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measure SL 42,000 ft
horsena [70]

Answer:

a= 200

b = 210

Step-by-step explanation:

My assumption is, we have to find the length of sides of rectangle

Given

perimeter = 2a + 2b = 820 ft (i) (here a is smaller side and b is larger side)

area = a*b = 42,000 ft^2 (ii)

from eq (1)

2a + 2b = 820

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=> a+b = 820/2

=> a + b = 410

=> a = 410-b   (iii)

putting the value of a in eq(ii), we get

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410b - b^2 = 42,000

0 = b^2 - 410b + 42000

b^2 - 410b + 42000 = 0

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b(b-200)-210(b-200) = 0

(b-200)(b-210) = 0

or

b= 210 and b = 200

if b is larger side than b =210

By putting value of b in eq(iii),

a = 410 -210 = 200

 

6 0
3 years ago
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nikdorinn [45]

Step-by-step explanation:

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We know that volume of a cuboid V = l×w×h

So,  l×w×h = 936

So, we can find any dimension of the prism provided the the other two dimensions are given to us.

4 0
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poizon [28]

234 bc you they play 34 mins in one day and just times 34 by 7 and it will get ur answer.

6 0
3 years ago
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