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Yuki888 [10]
2 years ago
15

Factor the polynomial by substitution. 5(4n - 1)^2 + 23(4n – 1) -10

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
4 0
5(4n-1)^2 +23(4n-1)-10

5(4n-1)^2 +25(4n-1)- 2(4n-1)-10

5(4n-1)(4n-1+5)- 2(4n-1+5)

(4n-1+5) (5(4n-1)-2)

(4n+4) (20n-5-2)

4(n+1) (20n-7)
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Given the arithmetic sequence an = 4 − 3(n − 1), what is the domain for n? All integers where n ≥ 1 All integers where n > 1
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All integers where n ≥ 1.

We have given that the sequence,

a_{n} =4-3(n-1)

We have to find the domain for n.

<h3>What is the meaning of arithmetic sequence?</h3>

Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.

That is, a_{n} =a+(n-1)d

where a = first term of sequence.

d =common difference.

n =number of terms which belongs to natural numbers

By  the definition of arithmetic sequence n starts with 1

Remember that,the natural number starts with 1

Now, in given sequence  for nth term

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The domain for n is All integers where n ≥ 1.

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