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:
[tex]a_n=a_1+(n-1)r[/tex]
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:
[tex]a_n=10+(n-1)2[/tex]
Operating:
[tex]a_n=10+2n-2[/tex]
[tex]a_n=8+2n[/tex]
Answer: D
Answer:
d(n)=8+2n for n >1
Step-by-step explanation:
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