22000
The number that's being added in the sequence increases by 2x.
250 * 2 = 500, which is added to 18500 to equal 19000.
500 * 2 = 1000, which is added to 19000 to equal 20000.
1000 * 2 = 2000, which added to 20000 equals 22000.
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:
Step-by-step explanation:
Given function l:
h= -16t² + 26t
where h represents height and t represents time.
The time for dolphin atbthe height 5 feet is given by putting the value of h as 5 in the function,
5 = -16t² + 26t
16t² - 26t + 5 = 0
For this equation: a=16, b=-26, c=5
Use quadratic formula with a=16, b=-26, c=5.
x=(−b±√b2−4ac)/2a
x=−(−26)±√(−26)2−4(16)(5)/2(16)
x=13/16 + 1/16√89 or x=13/16+ −1/16√89
x=1.40 or 0.22
Well if its exponential it must be x ^n
Answer:
39 ft
Step-by-step explanation:
40 feet would have been if the perimeter was 160ft. so since it has to be less than 160 the maximum (whole number) length of a side would be 39.
