![UngJae0213](/avatars/13438.jpg)
UngJae0213
29.01.2021 •
Mathematics
Quokka typically have one baby per year and can have 2 litters a year. A population of 16 Quokka is introduced without any known predators. The First year there were 7 babies born and a total of 2 deaths in the entire group. Calculate the number of Quokka after 8 years if the growth rate remained the same.
Solved
Show answers
More tips
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- S Sport When is the Champions League final?...
- S Sport When and Where Will the 2014 World Cup be Held?...
- C Computers and Internet The Twitter Phenomenon: What it is and How to Use it...
Ответ:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n