Maths-
General
Easy

Question

Tell whether the given sequence is an arithmetic sequence. 3,6,9,15,18,...

Hint:

  • A sequence is said to be arithmetic if the common difference is always constant.
  • The General formula of any AP is a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d.

The correct answer is: ⇒6


    Explanation:
    • We have given a sequence 3,6,9,15,18,...
    • We have to find weather the given sequence is AP or not.
    Step 1 of 1:
    We have given sequence 3,6,9,15,18,...
    The difference in first two terms is

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 6 minus 3 end cell row cell not stretchy rightwards double arrow 3 end cell end table
    Now the difference in next two terms is

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 9 minus 6 end cell row cell not stretchy rightwards double arrow 3 end cell end table
    Then, The difference between next two terms will be

    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell not stretchy rightwards double arrow 15 minus 9 end cell row cell not stretchy rightwards double arrow 6 end cell end table
    Since the difference is not constant
    The given sequence is not an arithmetic sequence.

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