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:
15
Step-by-step explanation:
so when we make 1 1/2 into an improper fraction it is 3/2 so what do they have in common, that is 15/10 so its 15
Answer:
14.2 feet
Step-by-step explanation:
I rounded off to 1 decimal place
4500÷.15= 30,000
30,000+4500=$34,500 salary
Answer:
z = (-b + 17)/(a+4)
Step-by-step explanation:
If in terms of a and b, then
az - 17 = -4z - b
z(a-4) = -b+17
z = (-b + 17)/(a+4)
