Answer:
Proved
Step-by-step explanation:
Given
[tex]a_n = 2n[/tex]
Required
Prove that [tex]S_n = n(n+1)[/tex]
The given sequence is an arithmetic sequence.
The Sn of this sequence is:
[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]
Calculate a1
[tex]a_n =2n[/tex]
[tex]a_1 =2*1[/tex]
[tex]a_1 =2[/tex]
So, we have:
[tex]S_n = \frac{n}{2}(a_1 + a_n)[/tex]
[tex]S_n = \frac{n}{2}(2 + 2n)[/tex]
Factor out 2
[tex]S_n = \frac{n*2}{2}(1 + n)[/tex]
[tex]S_n = n(1 + n)[/tex]
[tex]S_n = n(n + 1)[/tex] --- Proved
Can someone explain to me how to do this problem?
x • 1 + x/1 =
Fine the exponent ??
Answer:
the exponent is 7 why does it make me put 20 charects
Answer:
3
Step-by-step explanation:
27 = 3 to the power of 3
3 x 3 x 3 = 27
What is the value of y?
2y
Y+10
50°
Answer:
The question is incorrect. Please rewrite the question.
Please Help, 20 points and brainiliest, URGENT.
Answer:
Step-by-step explanation:
∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.
∠D = ∠B
∠A = ∠E
△ABC and △EDC are similar because they have the same angles.
A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?
Answer:
Number of children in theater = 94
Number of students = 46
Number of adults in theater= 47
Step-by-step explanation:
Total seating capacity in the theater = 187
Let us assume the number of students in the theater = m
and assume the number of children in the theater = 2k
So, the number of adults in theater = Half of number of children = 2k/2 = k
⇒ Number of ( Adults + Children + students) = 187
⇒ k + 2k + m = 187, or 3k + m = 187
Step-by-step explanation:
In each bag 1/4 pieces of fruit were raisins. 1/2 were bananas. There were 48 slices of dried banana. The remaining pieces of fruit was raspberries. How many pieces of raisins and dried raspberries were there in each bag
Pls help asap!(this question is worth 20 points!)picture down below says question
Answer:
138
Step-by-step explanation:
c=5
d=4
6c^2-5d+8
substitute c & d
6(5)^2-5(4)+8
6(25)-20+8
150-20+8 = 138
Please answer!!!
y = Yolanda's height in inches
y + 7 = Linda's height in inches
2y + (y + 7) = 193
please answer it’s urgent!!
bro helppppppppppppp
Answer:
1. 2 and 2 is c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
1. X+4x+6x need help ASAP 10 minutes remaining
Answer:
10x^2 or 10x because you are adding x
Use substitution to solve the linear system of equations.
2y = X - 6
x=9
(9, 24)
(9, 3/2)
(3/2, 9)
(9,9)
Answer:
2y=X-6
×=9
(9, 3/2)
Step-by-step explanation:
Hope this help!
Answer: 65
Step-by-step explanation: 65
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.
7. What is the largest of three consecutive integers whose sum is 39.
A 13
B. 14
C. 17
D. 19
Need to find the greatest common factor
Answer: The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.
Step-by-step explanation:
Steps to solve 5x +3 = 25x – 2
Answer: so you have to rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation. There are 3 possible answers x=1
x=6
x=0
I hope this helps if not I’m rlly sorry.
solve the question 7 _ 2 3/7
Answer:
Do you mean 7 - 2 and 3/7?
If so:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
32 /7
Decimal Form:
4. 571428
Mixed Number Form:
4 and 4 /7
Step-by-step explanation:
Have a great day!
Answer:
3.7 the answer.........
Evaluate Square root b2 - 4ac when a = 1, b = -6, and c = 9.
Answer:
[tex]x=3[/tex]
saben cual es la raiz cuadrada de 3025 con metodo de aproximaciones sucesivas
Answer:
which language is this
5x-7y=58
Y=-x+2
X=
Y=
Answer:
Since, Y = x + 2
so, 5x-7y = 58
5x-7×x+2 = 58
5x-7x = 58
-2x = 58
x = 58÷2
x = 29
3(6+b)-(2b +1)
Simplify the expression
Step-by-step explanation:
3(6+b)-(2b+1)
=18+3b-2b+1
=18+1+3b-2b
=19+b
Select all sports that apply (you may select more than one). The underhand serve is used in...
Badminton
Tennis
Soccer
Pickleball
Voleybal.
What is the acronym used to help remind you of the order
used to simplify expressions?
Answer:
I think it's PEMDAS, but I'm not sure- sorry if it's wrong.
Step-by-step explanation:
6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di
Answer:
3456/8 = 432
432 miles per hour
Step-by-step explanation:
answer the question below, please
Answer:
AB = 42.30 m
Step-by-step explanation:
What we are asked to do is to simply find the length of AB.
Since both triangles are similar, therefore their corresponding sides would be proportional to each other.
Thus:
92/82.8 = 47/AB
Cross multiply
92*AB = 82.8*47
92*AB = 3,891.6
AB = 3,891.6/92
AB = 42.30 m(nearest hundredth)
help. everything is in the picture.
the picture is completely blank
I need help with this question
Answer:
2,540 miles
Step-by-step explanation:
The computation of the fewer miles is given below;
For Space explorer B
= 15,000 miles ÷ 5 hours
= 3,000 miles per hour
For space explorer A
y = 4,600 x
That means in one hour it covered 460 miles
So, the fewer miles would be
= 3,000 - 460
= 2,540 miles
The length of a rectangle is 2 inches more than twice its width. Write an equation relating the length / of the rectangle to its width w.
Answer:
l = 2w + 2 would be the equation
Find the area of the triangle.
4ft
ift
8ft
[? ] ft2
Can someone please help me I don’t understand
Answer:
The ship is traveling at 25 mph
Step-by-step explanation:
12.5/0.5=25
25/1=25
37.5/1.5=25
The speed is constant (25) so the ship is moving at 25 mph