If the first two terms are 1 and 1, then what is the tenth term?
Answer:
The 10th term will be 55
Explanation:
In the Fibonacci Sequence, we add the previous digits to get the next digit. So, here 1st term is 1.
First term= 1
Second term = 0+1= 1
Third term= 1+1=2
Fourth term= 1+2= 3
Fifth term= 2+3= 5
Sixth term= 3+5= 8
Seventh term= 5+8 = 13
Eighth term= 8+13= 21
Ninth term= 13+21= 34
Tenth term= 21+34 = 55
So, the 10th term is 55.
I'm sure Joel pays more than $25/mo for rent. But assuming that the monthly rent actually is $25/mo, then the percentage of his $1700 monthly income that goes to rent is
$25
--------- * 100% = 1.47% (very unlikely).
$1700
If he pays $25/mo, then the answer would be 14.71% (more realistic).
x = first integer
x+1 = integer right after x
For example, if x = 10, then the next one after that is x+1 = 10+1 = 11. So 10 and 11 are consecutive integers (one follows right after the other)
The sum of those two integers x and x+1 add to x+x+1 = 2x+1
This sum is no more than 209, therefore,
![2x+1 \le 209](https://tex.z-dn.net/?f=2x%2B1%20%5Cle%20209)
![2x+1-1 \le 209-1](https://tex.z-dn.net/?f=2x%2B1-1%20%5Cle%20209-1)
![2x \le 208](https://tex.z-dn.net/?f=2x%20%5Cle%20208)
![\frac{2x}{2} \le \frac{208}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%20%5Cle%20%5Cfrac%7B208%7D%7B2%7D)
![x \le 104](https://tex.z-dn.net/?f=x%20%5Cle%20104)
Therefore the largest x can be is 104
If x = 104, then x+1 = 104+1 = 105
<h3>Final Answer: 105</h3>
Note how 104+105 = 209, which helps confirm the answer
For the conversion of feet to miles,
![1\text{ mile=5280 feet }](https://tex.z-dn.net/?f=1%5Ctext%7B%20mile%3D5280%20feet%20%7D)
Determine the miles in 23,232 ft by divide it by 5280.
![23232\text{ feet}\cdot\frac{1\text{ mile}}{5280\text{ feet}}=4.4\text{ miles}](https://tex.z-dn.net/?f=23232%5Ctext%7B%20feet%7D%5Ccdot%5Cfrac%7B1%5Ctext%7B%20mile%7D%7D%7B5280%5Ctext%7B%20feet%7D%7D%3D4.4%5Ctext%7B%20miles%7D)
So answer is 4.4 miles.