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yuradex [85]
3 years ago
10

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 152,149,146

Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

the 30th term is 239

Step-by-step explanation:

The computation of the 30th term is as follows:

As we know that

a_n = a_1 + (n-1)d

where

a_1 is the first number is the sequence

n = the term

And, d = common difference

Now based on this, the 30th term is

= 152 + (30 - 1) × 3

= 152 + 29 × 3

= 152 + 87

= 239

Hence, the 30th term is 239

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<h3>Answer: choice C) 15</h3>

Simplify the left side to get

2(4+x)+(13+x)

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So the original equation

2(4+x)+(13+x) = 3x+k

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3x+21 = 3x+k

3x+21-3x = 3x+k-3x

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If k = 21, then the original equation will have infinitely many solutions. This is because we will end up with 3x+21 on both sides, leading to 0 = 0 after getting everything to one side. This is a true equation no matter what x happens to be.

If k is some fixed number other than 21, then there will be no solutions. This equation is inconsistent (one side says one thing, the other side says something different). If k = 15, then

3x+21 = 3x+k

3x+21 = 3x+15

21 = 15 .... subtract 3x from both sides

The last equation is false, so there are no solutions here.

note: if you replace k with a variable term, then there will be exactly one solution.

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Step-by-step explanation:

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