Which of the following is an arithmetic sequence?
0, 2, 4, 6, ...
1, 2, 4, 8, ...
1, 4, 8, 13, ...
Answers
0,2,4,6,8
IS YOUR ANSWER
THIS IS AN A.P. SEQUENCE.
Answer: 0, 2, 4, 6, . . . is an arithmetic sequence.
Step-by-step explanation: We know the difference between an arithmetic sequence and a geometric sequence.
In an arithmetic sequences, two consecutive terms differ by a common difference 'd'. And in a geometric sequence, two consecutive terms differ by a common ratio.
The first sequence is 0, 2, 4, 6, . . .. Here, 2-0=4-2=6-4= . . . =2. So, the terms differ by a common difference 2 and hence it is an arithmetic sequence.
The second sequence is 1, 2, 4, 8, . . .. Here, 2/1=4/2=8/4= . . . =2. Since the terms differ by a common ratio 2, so, it is a geometric sequence, not an arithmetic sequence.
The third and last sequence is 1, 4, 8, 13, . . .. Here, neither the terms differ by common difference nor by common ratio. Thus, it is not an arithmetic sequence.
Therefore, the correct answer is 0, 2, 4, 6, . . ..