Answer:
<u>The sequence is</u>
- 1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...
Each term is the sum of the consecutive numbers from 1 to that number.
<u>The nth term is the sum of the first n numbers:</u>
- aₙ = 1 + 2 + 3 + ... + n
- aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
- aₙ = n(n + 1)/2
1) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
Answer:
C [-2 < x]
Step-by-step explanation:
-6(x - 2) < 24
________ ___
-6 -6
x - 2 > -4
+ 2 + 2
_________
x > -2
** Whenever you divide\multiply by a negative, you reverse the inequality symbol.
I am joyous to assist you anytime.
Nico shot more baskets.
Molly shot 5 baskets per minute.
20/4=5
Nico shot 7 baskets per minute.
42/6=7
Answer:
y = -5x + 9
Step-by-step explanation:
Slope-intercept form of an equation is:
y = mx + b
Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!
Fill in the slope for the m. Fill in the y-intercept for the b.
y = -5x + 9
7h + 6b = 35.50
5h + 6b = 30.50
The difference between the 2 totals spent is $5, and there were the same number of burgers, but 2 fewer hotdogs. So $5/2 = $2.50, the cost of a hot dog. Substitute that into the equations to solve for burgers (b)
5(2.50) + 6b = 30.50
12.50 + 6b = 30.50
6b = 18
b = 3
Check the work:
7(2.50) + 6(3) =
17.50 + 18 = 35.50
