Answer:
16
Step-by-step explanation:
7+16+11+12+10= 56
In order to find the 6th number, you must multiply 12 and 6.
12*6= 72
72-56= 16
Double check your work:
7+16+11+12+10+16= 72
72/6= 12
The sum of any geometric sequence (if it converges, r^2<1) is of the form:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=number of terms...
s(n)=30(1-0.4^n)/(0.6)
s(n)=50(1-0.4^n)
Since r<1 the sum of the infinite series is just:
s=50
Answer:
Relationship between compound interest and exponential growth
C.I = ![P[(1 + \frac{R}{100})^{n} - 1]](https://tex.z-dn.net/?f=P%5B%281%20%2B%20%5Cfrac%7BR%7D%7B100%7D%29%5E%7Bn%7D%20-%201%5D)
where, P =Principal
R =Rate of interest, n= Duration i.e time interval for which money has been taken, C.I =Compound Interest
Exponential growth = A 
Where , A=Initial value of population, K= Rate at which population is declining in percentage, s=total time between starting population and final population
Now , If you compare between Exponential growth and compound interest
P→(Replaced by)→A,
R→(Replaced by)→K,
n→(Replaced by)→s,
As C.I is calculated for money, and Exponential word is used for both money as well as increase in population.
So, just replacing keeping the meaning same
C.I =
- P
→Compound Interest = Exponential growth - Initial Value(either money or any population considered)
Answer:
1 and 1/3 cup
Step-by-step explanation:
You need to be able to add a number 3 times and get the answer of 4
1 1/3 + 1 1/3 + 1 1/3=4