Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600
Answer:
English time + Math Time = 6 7/8 + 1 4/8 = 7 7/8+4/8 = 8 3/8
8 3/8 - Science time = difference = 8 3/8- 3 1/6 = 5 5/24
She spent 5 5/24 days more on her English and Math test than Science
Step-by-step explanation:
Answer:
It is -3
i used a calculator-
you can also turn into improper fraction
Answer:
Step-by-step explanation:
Answer:
6 gallons
Step-by-step explanation:
1) add 15 and 19 to get 34
2) then add 34 and 14 to get 48
3) then divide 48 by 8 to get 6
