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3 years ago

Determine the nth term for each of the following sequences: 2,5,8,11,14,..

1 answer:

8 0

To determine the nth term, we must create a function.

f(n) = 1st term + common difference (n - 1)

n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.

based on the above sequence, the 1st term is 2, its common difference is 3.

f(n) = 2 + 3(n-1)

Assuming we are looking for the 5th term
f(5) = 2 + 3(5-1)
= 2 + 3(4)
= 2 + 12
f(5) = 14 as you can see in the above sequence 14 is the 5th term.

For any other value of the nth term, simply substitute n by the number of the term and solve the equation.

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Which of the following equations can be used to find the length of angle LN in the triangle below?

shtirl [24]

Answer:

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Step-by-step explanation:

we know that

In the right triangle MNL

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the answer would be 67,127 because the number in the ones would be 7 and the tens number would be 2 since it wouldn't more than 1.

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3 years ago

What is the value of 64? 60 = 1 61 = 6 62 = 36 63 = 216

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Every number gets multiplied by 6...
So the answer is...

ANSWER = 64 = 1296

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3 years ago

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If function g(x) = x2 + 2 is a transformation of the quadratic parent function, f(x) = x2, where is the y-intercept of function

Georgia [21]

We have been given that function $g(x)=x^2+2$ is a transformation of the quadratic parent function $f(x)=x^2$ . We are asked to find the y-intercept of function g.

We know that the function $f(x)=x^2$ is an upward opening parabola with vertex at point (0,0).

We know that vertex form of a parabola is in form $y=a(x-h)^2+k$ , where point (h,k) represents vertex of parabola.

We can rewrite g(x) as:

$g(x)=(x-0)^2+2$

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We know that the vertex of a function is the point, when x is equal to 0. Therefore, the y-intercept of the g is at (0,2).

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3 years ago

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