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Maslowich
3 years ago
12

If the nth partial sum of the sequence an is given by

Mathematics
1 answer:
Art [367]3 years ago
6 0

This is an example of a series in arithmetic progression.

The nth term an can be calculated using the formula:

an = a1 + (n – 1) d

<span>where: a1 = is the 1st term of the series</span>

d = common difference

<span>Calculating for the 1st term:</span>

a1 = 2k + 4 = 2 (1) + 4 = 6

Calculating for the common difference by :

d = a2 – a1

d = 2 (2) + 4 – 6

d = 2

 

Therefore calculating for an:

an = 6 + (n – 1) 2

an = 6 + 2n -2

an = 2n + 4

Therefore the answer is B. 2n+4

<span> </span>

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Which statement is true? O A. The number 23 is prime, but 36 is composite. B. The number 33 is prime, but 42 is composite. OC. T
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Answer: A. The number 23 is prime, but 36 is composite.

=====================================================

Explanation:

Let's go through the possible answer choices

  • A) This is true because 23 only has the factors 1 and 23. So that's why 23 is prime. We can say 36 is composite since 2 is a factor, ie 36 = 2*18.
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3 years ago
to solve the system of equations below, grace isolated the variable y in the first equation and then substituted into the second
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Answer:

The resulting equation is

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Step-by-step explanation:

The given equations are:

3y=12x   eq(1)

x^2/4+y^2/9=1    eq(2)

We need to isolate variable y in equation 1

Divide both sides of the equation with 3

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Now, substitute the value of y=4x in second equation

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The resulting equation is

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8 0
4 years ago
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