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EastWind [94]
3 years ago
11

8n-12=6n+6 I need help figuring out this answer I been having some troble

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0
Solve the equation with the following steps:
8n-12=6n+6
Subtract 6n from both sides
2n-12=6
Add 12 to both sides
2n=18
Divide both sides by 2
n=9
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a_{n} = 9n + 63

generate the first few terms using the recursive equation

f(1) = 72

f(2) = 72 + 9 = 81

f(3) = 81 + 9 = 90

f(4) = 90 + 9 = 99

the sequence is 72, 81, 90, 99, .....

This is an arithmetic sequence whose n th term formula is

a_{n} = a_{1} + (n - 1 )d

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d = 99 - 90 = 90 - 81 = 81 - 72 = 9 and a_{1} = 72

a_{n} = 72 + 9(n - 1) = 72 + 9n - 9 = 9n + 63 ← explicit formula


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