Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
Answer:
Policeman A = 56 tickets
Step-by-step explanation:
Policemen A + B = 70
If Policeman B hands out x no of tickets...
Then Policeman A hands out 4x no of tickets
meaning...
x + 4x = 70
5x = 70
x = 70/5
x = 14
Therefore Policeman A hands out..
4x = 4 × 14 = 56 tickets
Answer:
1.Equation ----- 8x=12
2. x=1.5
3. cost of a single song is $1.5
4.$12 gift card will download 8 songs
Step-by-step explanation:
The amount of money the gift card holds is $12
Number of songs bought= 8 songs
Let the cost of a single song to be =$x
The cost of 8 songs will be =$x × 8=$ 8x
So the 8 songs will all cost $12
This means; $ 8x = $12
Equation------ 8x=12
Finding cost of a single song
8x=12------------------divide by 8 both sides
x=12/8------------------simplify
x=3/2 = $ 1.5
Checking for solution
if a single song costs $1.5 , who many songs can a gift card with $12 download?
Here we divide $12 by $1.5 = $12/$1.5= 8 songs------------correct number of songs as mentioned in the question.
Answer:
The length is 13
Step-by-step explanation:
w+w+l+l= perimeter
if the length is 3m less than twice the width then let's do some math.
42 divided 2 =21. so the width and length of one side have to equal 21. For example, let's use 8 as the width. The length would be twice(16) minus three(13) 13 plus 8 is 21. WOW it equals half of it so no we know the length is 13 and the wdith is 8.
Answer:
9 cm
Step-by-step explanation:
hope it helps<3
