Answer:
avn= -8 + (n-1)(-7)
Step-by-step explanation:
arithmetic sequence formula= avn= av1 + (n-1)d
av1= first number in the sequence
d= common difference
n= the number of the term to find
The common difference is -7 so d=-7 and you plug it into the equation. The first number in the sequence is -8 so av1.
There is no specific n to find so it remains n.
I hope this helps! Let me know if this helps.
Answer:
r = 3/2
Step-by-step explanation:
ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get ). If we take 24 and divide it by 16, we get the common ratio of 3/2 (, ).
Answer:
Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
The volume of a sphere is equal to 4/3πr³.
Set up the equation;
4/3πr³=256π/3
Multiple both sides by 3/(4π):
r³=64
r=∛64=4 (ans)
The time taken for the golf ball to reach the ground is 1 s.
<h3>
Motion of the golf ball</h3>
The path of motion of the golf ball can be described as parabolic because it is projectile.
When the golf ball reaches the ground, the final velocity will be zero.
Velocity of the golf ball is change in height with time.
v = dh/dt
h(t) = -16t² + 32t + 128
dh/dt = -32t + 32
0 = -32t + 32
32t = 32
t = 1 s
Thus, the time taken for the golf ball to reach the ground is 1 s.
Learn more about time of motion here: brainly.com/question/2364404
