Answer:
Step-by-step explanation:
Let the first term is a and common difference is d.
<u>The nth term is:</u>
<u>We have:</u>
<u>The difference of these terms is:</u>
- (a + 8d) - (a + 5d) = 16 - 15
- 3d = 1
- d = 1/3
<u>Then the first term is:</u>
- a + 5*1/3 = 15
- a = 15 - 5/3 = 13 1/3
<u>The nth term equation is:</u>
- aₙ = 13 1/3 + 1/3(n - 1) = 1/3n + 13
<u>If the nth term is 22, find n:</u>
- 1/3n + 13 = 22
- 1/3n = 22 - 13
- 1/3n = 9
- n = 9*3
- n = 27
Step-by-step explanation:
lim(n→∞) |aₙ₊₁ / aₙ|
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) / (4ⁿ / n!) |
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) × (n! / 4ⁿ) |
lim(n→∞) | 4 / (n+1) |
0
Since the limit is less than 1, the series converges.
Answer:
A. -45
Step-by-step explanation:
Since it says the dolphin dove 45 feet below sea level, it would mean that the integer is negative.
Answer: D
Step-by-step explanation:
because 320/4 = 80 mi/hr because it can not km or min and hr^2 would not make any sense
3/25
4/38=2/19
54/7=7 5/7
48/9=16/3=5 1/3
