Maths-
General
Easy

Question

Write recursive formula. 2,6,10,14,18,....

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: a_n=a_(n-1)+4.


    Explanation:
    • We have given a sequence 2,6,10,14,18,...
    • We have to find weather the given sequence is AP or not.
    Step 1 of 1:
    We have given a sequence 2,6,10,14,18,...
    The given sequence is an AP
    And we know the recursive formula of any AP is a subscript n equals a subscript n minus 1 end subscript plus d.
    Where d is common difference.
    Here the common difference is 4.
    So, The recursive formula is

    a subscript n equals a subscript n minus 1 end subscript plus 4

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