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umka21 [38]
2 years ago
14

Find the 15th term in the geometric sequence shown below. 1, 3, 9...

Mathematics
2 answers:
Alex73 [517]2 years ago
8 0

Answer:'3^14

Step-by-step explanation:

This geometric sequence has common ratio 3 and first term 1.

Thus, the general formula for the nth term is a(n) = 1*3(n - 1).

The 15th term is thus a(15) = 1*3^(n -1) = 3^14.

serious [3.7K]2 years ago
6 0

Answer:

Step-by-step explanation:

a₁ = 1

r = 3/1 = 3

an = a₁rⁿ⁻¹

a₁₅ = 1*(3)¹⁴

a₁₅ = 4782969

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What is the equation of the line passing through the point (-2,-1) and perpendicular to the line y = 1/2x+5?
uranmaximum [27]

Step-by-step explanation:

the slope of a line is always the factor of x.

here : 1/2

it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.

a perpendicular slope puts x and y upside-down and flips the sign.

here : -2/1 = -2

so, the equation looks like

y = -2x + b

b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :

-1 = -2×-2 + b

-1 = 4 + b

b = -5

the full equation is therefore

y = -2x - 5

3 0
2 years ago
The answer for this question
Ivanshal [37]
I'm pretty sure it would be 4 5/6 - 3 2/3 = 1 1/6.
3 0
3 years ago
What is the value of P in the equation P - 1/8 = 3/8
tino4ka555 [31]
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4 0
2 years ago
Read 2 more answers
10 points!
Goryan [66]

Answer:

30 feet

Step-by-step explanation:

A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,

original mast height = 40 feet

4 * x = original mast height = 40 feet

divide both sides by 4 to get x

x = 10 feet

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4 0
2 years ago
What is the prime factorization of 144? Be sure to show your strategy.
erastovalidia [21]

Answer:

So, the prime factors are written as 2 x 2 x 2 x 2 × 3 x 3 or 24 x 32, where 2 and 3 are the prime numbers. It is possible to find the exact number of factors of a number 144 with the help of prime factorisation. The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2.

Step-by-step explanation:

8 0
2 years ago
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