Q. What kind of sequence is this?678,678,678,678,…Choices:(A) arithmetic(B) geometric(C) both(D) neither
Arithmetic Sequence Check: An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant difference to the previous term. Let's check if the given sequence is arithmetic by finding the difference between consecutive terms.678−678=0
Arithmetic Sequence Explanation: Since the difference between consecutive terms is 0, which is constant, the sequence is an arithmetic sequence because each term is obtained by adding 0 to the previous term.
Geometric Sequence Check: A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. Let's check if the given sequence is geometric by finding the ratio between consecutive terms. 678678=1
Geometric Sequence Explanation: Since the ratio between consecutive terms is 1, which is constant, the sequence is also a geometric sequence because each term is obtained by multiplying the previous term by 1.