Is the sequence 5, 9, 15, an arithmetic sequence? Explain.

Accepted Solution

Answer:Not an Arithmetic SequenceStep-by-step explanation:In an Arithmetic Sequence the difference between two consecutive terms of the sequence is always the same. This difference is known as common difference of the Arithmetic Sequence and is denoted by dSo, in order to check if any given sequence is Arithmetic Sequence or not, juts find the difference of the consecutive terms. If the difference is the same, the given sequence will be Arithmetic Sequence.Difference of 1st and 2nd term of given sequence = 9 - 5 = 4Difference of 2nd and 3rd term of given sequence = 15 - 9 = 6Since these differences are not the same, the given Sequence is not an Arithmetic Sequence.