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What kind of sequence is this?\newline95,106,117,128,…95, 106, 117, 128, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither

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Identify arithmetic and geometric sequencesright chevron icon

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Q. What kind of sequence is this?\newline95,106,117,128,…95, 106, 117, 128, \dots\newlineChoices:\newline(A) arithmetic\newline(B) geometric\newline(C) both\newline(D) neither
  1. Identify Pattern: To determine the type of sequence, we need to look at the pattern of the numbers. Let's find the difference between consecutive terms.\newline106−95=11106 - 95 = 11\newline117−106=11117 - 106 = 11\newline128−117=11128 - 117 = 11
  2. Constant Difference: Since the difference between consecutive terms is constant, this indicates that the sequence is an arithmetic sequence.
  3. Arithmetic Sequence: An arithmetic sequence is defined by having a constant difference between terms, which we have established is 1111 in this case. Therefore, the sequence is not geometric, as a geometric sequence would require each term to be a constant multiple of the previous term.
  4. Correct Choice: Based on the definition and the pattern observed, the correct choice is:\newline(A) arithmetic

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