Answer:
-0.329
Step-by-step explanation:
The formula for Geometric ratio is
an = ar^n - 1
Where
a = First term = 18
r = Common ratio = ?
n = Number of term= 6
Hence
a6 = 18 × r^6-1
From the question
a6 = -2/29
Hence:
-2/29 = 18 × r^6-1
-2/29 = 18 × r⁵
Divide both sides by 18
-2/29 ÷ 18 = 18 × r⁵/18
-2/29 × 1/18 = r⁵
r⁵ = -1/261
Take the fifth root of both sides
⁵√(r⁵) = ⁵√(-1/261)
r = -0.3286032834
Approximately = -0.329
Therefore, Common ratio = -0.329
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The solution would be like this for this specific problem:
√512m³ = √256m² × √2m
= 16 × √2m
I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.
Step-by-step explanation:
2+6x= -10 + 11(x + 4)
2+ 6x = -10 + 11x + 11(4)
2 + 6x = -10 + 11x + 44
2+ 6x = 11x + 34
6x - 11x = 34 - 2
-5x = 32
x= - 32/5
