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3 years ago

I need help with this

Mathematics

1 answer:

True [87]3 years ago

6 0

ANSWER

The greatest common factor is 1.

EXPLANATION.

The given expressions are

$3 {c}^{3} {t}^{3} = 3 \times {c}^{3} \times {t}^{3}$

and

$4 = {2}^{2}$

The greatest common factor is the product of least powers of the common factors of the two expressions.

Since the two expressions are relatively prime, their greatest common factor is 1.

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3 years ago

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Answer:

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3 years ago

Consider the arithmetic sequence:

Leona [35]

Answer:

If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is $\mathbf{d(n)=8+2n\:for\:n>1}$

Option D is correct option

Step-by-step explanation:

We are given the arithmetic sequence:

10, 12, 14, 16, ...

If n is an integer, which of these functions generate the sequence?

We need to find the nth term for the given sequence

The nth term for arithmetic sequence will be: $a_n=a_1+(n-1)d$

where aₙ is nth term, a₁ is first term and d is common difference

Looking at the sequence a₁ = 10 and d = 2

So, nth term will be:

$a_n=a_1+(n-1)d\\a_n=10+(n-1)2\\a_n=10+2n-2\\a_n=8+2n$

So, nth term is: $a_n=8+2n$

In the options below, the only correct answer is option D. so, we can write nth term as: $d(n) = 8 + 2n\: for\: n > 1$

So, If n is an integer, the function that generate the sequence 10, 12, 14, 16, ... is $\mathbf{d(n)=8+2n\:for\:n>1}$

Option D is correct option

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