Answer:
he just shrugged and *sigh*
Step-by-step explanation:
Answer:
The Probability of the pebble landing on red = 1/3
The Probability of the pebble landing on blue = 1/6
The Probability of the pebble landing on white = 1/2
Total sum of probability = 1/3 + 1/6 + 1/2 = 1
The probability that the first pebble lands on blue and second pebble lands on red is:
1/6 * 1/3
= 1/18
Step-by-step explanation:
Red, Red = 1/3 * 1/3
Red, Blue = 1/3 * 1/6
Red, white = 1/3 * 1/2
Blue, Blue = 1/6 * 1/6
Blue, Red = 1/6 * 1/3
Blue, white = 1/6 * 1/2
White, White = 1/2 * 1/2
White, Red = 1/2 * 1/3
White, Blue = 1/2 * 1/6
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
