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Step-by-step explanation:
We have,
First terms of geometric sequence, a = 0.3
Common ratio, r = 3
It is required to find the 12th term of a GP. The formula of the nth term is given by :
Here, n =12
So,
or
So, the 12th term of the GP is 53144.
Answer:
x≈ 3.2056
Step-by-step explanation:
Set both sides by log. Then, solve for x.
1. 14^(x + 1) = 36
(x + 1)log(14) = log(36)
x + 1 = log(36)/log(14) . . . Divide both sides by log(14)
x = log(36)/log(14) - 1 . . . . Subtract both sides by 1.
x ≈ 0.3579 . . . . . . . . . . . .Use calculator to simplify the expression.
Note that the second problem is similar to the first.
2. 12^(y - 2) = 20
(y - 2)log(12) = log(20)
y - 2 = log(20)/log(12)
y = log(20)/log(12) + 2
y ≈ 3.2056
Hello!
-2x + y = 1
-4x + y = -1
You can subtract these equations from each other to eliminate y
2x = 2
Divide both sides by 2
x = 1
Put this into one of the original equations
-2(1) + y = 1
Combine like terms
-2 + y = 1
Add 2 to both sides
y = 3
The answer is D) (1, 3)
Hope this helps!
Answer:
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Step-by-step explanation:
