Write an equation for the nth term of the given geometric sequence. 12, 156, 2028, ..., a
2 answers:
Answer:
a(n) = 12 * (13)^(n-1)
Step-by-step explanation:
First step is to determine what's the scale/multiplication factor between each term:
156 / 12 = 13
2028 / 156 = 13
So, since we got 13 between 1st, 2nd and 3rd term, we can be confident it's the right multiplication factor.
an would be the first term (12) multiplied by a factor of 13. So,
If we try for n > 1, we have
a(2) = 12 * (13)^(2-1) = 12 * 13 = 156
a(3) = 12 * (13)^(3-1) = 12 * 13² = 12 * 169 = 2028
It matches!
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Answer:
158.4 pounds
Step-by-step explanation:
first find the volume of the tank
to convert this to m^3 we know that 1m = 100cm
the cm^3 cancel out.
by simply converting the side-lengths to meters beforehand can give you this answer directly:
it is given that 1 meter cube of water weighs about 2200 pounds.
multiply both sides with 0.072 to find our answer:
hence the weight of the water in the tank would be 158.4 pounds!