The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
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Answer:
slope = 
Step-by-step explanation:
Select any 2 ordered pairs from the given table, the use the slope formula to calculate the slope m
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (4, 10) ← 2 ordered pairs from table
m =
= 
2 and 4 because they all multiply and add up to 12 and 20
Answer:
B
Step-by-step explanation:
A give me 2'zero
b give me 9'zero
c give 8'zero
d gives 5 zero
e give me 4'zero
for example it give me two zero it 100
or if five 5 zero it 100000
hope this helps
Answer:
The number of meters Robert will beat Sam is 12 meters.
Step-by-step explanation:
Given:
When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.
Find:
the number of meters by which Robert will beat Sam
Step 1 of 1
When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.
Therefore, when Robert and Sam run for the same amount of time, Sam covers
of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs
meters.
This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.