Maths-
General
Easy

Question

Tell whether the given sequence is an arithmetic sequence. 48,45,42,39,....

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: ⇒-3


    Explanation:
    • We have given a sequence 48,45,42,39,...
    • We have to find weather the given sequence is AP or not.
    Step 1 of 1:
    We have given sequence 48,45,42,39,...
    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 42 minus 45 end cell row cell not stretchy rightwards double arrow negative 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 42 minus 45 end cell row cell not stretchy rightwards double arrow negative 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 39 minus 42 end cell row cell not stretchy rightwards double arrow negative 3 end cell end table
    Since the difference is constant
    The given sequence is an arithmetic sequence.

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