Answer:
y=8
Step-by-step explanation:
12(3+y)=5(2y+8)
⇒36+12y = 10y+40
⇒12y-10y=40-36
⇒2y=16
⇒y=8
The 8th term of the geometric sequence is 13122x^22
<h3>Explicit form of a geometric sequence</h3>
The explicit form of a geometric sequence is expressed according to the equation;
Tn = ar^n-1
where
r is the common ratio
a is the first term
n is the number of terms
Given the sequence below;
6x,18x^4,54x^7
r = 18x^4/6x
r = 3x^3
a = 6x
n = 8
Substitute to have:
T8 = 6x(3x^3)^8-1
T8 = 6x (3x^3)^7
T8 = 13122x^22
Hence the 8th term of the geometric sequence is 13122x^22
Learn more on geometric sequence here: brainly.com/question/24643676
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Answer:
x=6 and y=0
Step-by-step explanation:
1. 15-3=12
2. 12÷2=6 6=x
3. 6-6=0 0=y
bearing in mind that an absolute value expression is in effect a piece-wise expression, because it has a ± version.
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