What is the common difference of an arithmetic sequence defined by the general formula: an=6n+4 ?
Select one:
a. 4
b. 6
c. 4/6
d. 6/4
since each n is multiplied by 6,
increasing n by 1 adds 6 to the previous term
proof: going from a_n to a_n+1 means that
a_n+1 - a_n = 6(n+1)+4 - (6n+4) = 6
To find the common difference of an arithmetic sequence defined by the general formula an = 6n + 4, we need to determine the difference between consecutive terms.
Let's consider two consecutive terms of the sequence:
a1 = 6(1) + 4 = 10
a2 = 6(2) + 4 = 16
The difference between these two terms is: a2 - a1 = 16 - 10 = 6.
Therefore, the common difference of the arithmetic sequence is 6.
So, the correct answer is option b. 6.
What is the common difference in the following arthemetic sequence.
1. -12.
2. -1
3. 10
4. 21
This is what the crap looks like and the answer are.
A. -11
B. -1
C. 10
D. 11