Please helpppp it’s due at 5 part 1
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<u>c) 3, 6, 9 12</u> is NOT a geometric progression
<h3>Further explanation </h3>Geometry sequences are series of numbers that have a constant ratio
or can be interpreted:
Each number is obtained by multiplying the previous number by a constant
The sequence can be:
a, ar, ar², ar³, ... etc.
Can be formulated
where:
a is the first term, and
r is the common ratio
So we have to see the series has the same ratio or not
a.
b.
c.
d.
a geometric sequence
Determine whether the sequence below is a geometric
the formula for a finite geometric series
Keywords : a geometric sequence, the first term, the common ratio
For this case we have the following system of equations:
We solve by the substitution method:
We substitute the first equation in the second equation:
We apply distributive property considering that
We subtract 69 from both sides of the equation:
We divide by 8 on both sides of the equation:
We look for the value of the variable y:
Thus, the solution of the system is
Answer: