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:
b = 7
Step-by-step explanation:
-144 = 8(3-3b)
-18 = 3-3b
-21 = -3b
b = 7
Answer:
See Explanation
Step-by-step explanation:
Your question is incomplete, as the equations or graph or table(s) were not given.
However, I'll give a general way of solving this.
Take for instance, the equations are:


To do this, we start by equating both equations.

i.e.

Collect Like Terms

Take LCM


Cross Multiply


Make x the subject

Substitute 3/4 for x in 



Hence:

Answer: Jill got the larger smoothie and its volume is 1609.14 cubic cm.
Step-by-step explanation:
Since we have given that
Jill purchased the cylindrical container.
Height of container = 8 cm
Radius = 8 cm
So, volume of cylindrical container would be

Marcy purchased the rectangular container.
Height of container = 8 cm
Width = 8 cm
Length = 8 cm
so, volume of rectangular container would be

Hence, Jill got the larger smoothie and its volume is 1609.14 cubic cm.