Question

Consider the arithmetic sequence:

Answer 1

Answer:

d(n)=8+2n for n >1

Step-by-step explanation:

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Answer 2

Answer:

Answer: D

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

$a_n=a_1+(n-1)r$

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the arithmetic sequence:

10, 12, 14, 16, ...

Where a1=10 and

r = 12 - 10 = 2

Thus the general term is:

$a_n=10+(n-1)2$

Operating:

$a_n=10+2n-2$

$a_n=8+2n$

Answer: D