Answer:
a(n) = -81(-4/3)^(n - 1)
Step-by-step explanation:
The first term is -81. From -81 we obtain the next term, 108, by multiplying -81 by -4/3. Note how (-4/3)(108) = -144 as anticipated.
Thus, the common ratio is -4/3.
The explicit function for this geometric series is
a(n) = -81(-4/3)^(n - 1)
Answer:
Height = 167.47 cm
Step-by-step explanation:
volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³
267.9467 cm³ x 100 spheres = 26794.67 cm³
volume of cube = L x W x H
26794.67 = 16 x 10 x H
H = 167.47 cm
Answer:
8.54
Step-by-step explanation:
If thousandth's place is ≥ 5 , then add 1 to the hundredth place.
6.487 = 6.49
2.049 = 2.05
6.487 + 2.049 = 6.49 + 2.05 = 8.54
The negative sign isnt changing back and forth, so its not a geometric sequence
the difference between each term looks to be constant at 10
a1= 3
a2=-7= a1-10
a3= -17 =a2-10
oh look a pattern
an= a(n-1) - 10
Okay, first you got to simplify the mixed numbers. Example: 2 and 1/2. I got 5/2, how is this? first multiply 2 * 2 then add 1 from the numerator. sorry if this doesn't make since. You got to do this before you do the actual math.
