Answer:
a 1 = 10
a 2 = 10 * 1/5 = 2
a 3 = 2 * 1/5 = 2/5
a 4 = 2/5 * 1/5 = 2/25
a 5 = 2/25 * 1/5 = 2/125
S 5 = a 1 + a 2 + a 3 +a 4 + a 5= 10 + 2 + 2/5 + 2/25 + 2/125 =
= 1250/125 + 250/125 + 50/125 + 10/125 + 2/125 = <u> 1562 / 125</u>
Answer:
Step-by-step explanation:
Let x represent the number if months it will take for the total costs of both plans to be the same.
The first plan has $50 signup fee and costs $20 per month. This means that the total cost of using the first plan in a month would be
20x + 50
The second plan has $30 sign up fee and cost $25 per month. This means that the total cost of using the first plan in a month would be
25x + 30
For the costs to be the same,
20x + 50 = 25x + 30
25x - 20x = 50 - 30
5x = 20
x = 20/5 = 4
The costs would be the sane after 4 months. The cost would be
20 × 4 + 50
= $130
Answer:
The explicit formula of the given AP is a(n) = 7 + 7 n
And the term a (13) = 98
Step-by-step explanation:
Here, the given sequence is : 14, 28 , 42, 56 ,....
First Term (a) = 14
Second term = 28
Now, the Common difference (d) = Second term - First Term
= 28 - 14 = 14
Now, the formula for nth term in an AP is : a(n) = a + (n-1)d
So, here, the nth term of the sequence is given as:
a(n) = 14 + (n-1) 7
= 14 + 7 n - 7 = 7 + 7 n
or, a(n) = 7 + 7 n ......... (1)
or, The explicit formula of the given AP is a(n) = 7 + 7 n
Now, for evaluating a (13) put n = 13 in (1)
⇒ a(13) = 7 + 7 (13) = 7 + 91 = 98
or, a (13) = 98
Answer:
Step-by-step explanation:
We know that
Length(l) = 1.5n + 9 ft
Width(w) = 5n - 1.5 ft
The formula for the perimeter(P) of a rectangle is:
So by substituting l and w we get :
![P= 2[(1.5n+9)+(5n-1.5)]](https://tex.z-dn.net/?f=P%3D%202%5B%281.5n%2B9%29%2B%285n-1.5%29%5D)
![P= 2[1.5n+5n+9-1.5]](https://tex.z-dn.net/?f=P%3D%202%5B1.5n%2B5n%2B9-1.5%5D)
![P= 2[6.5n+7.5]](https://tex.z-dn.net/?f=P%3D%202%5B6.5n%2B7.5%5D)
Answer:
C
Step-by-step explanation:
I believe it's C because it barely touches the circle-
