Maths-
General
Easy

Question

Write recursive formula and explicit formula. 12,19,26,33,40,...

Hint:

  • Recursive Formula is a formula that defines the each term of sequence using the previous/preceding terms.

The correct answer is: a_n=7n+5.


    Explanation:
    • We have given a sequence 12,19,26,33,40,....
    • We have to find the recursive and explicit formula of the given sequence.
    Step 1 of 2:
    We have given a sequence 12,19,26,33,40,....
    The given sequence is an AP.
    We know that the recursive formula for 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 7
    So, The recursive formula is

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

    a subscript n equals a subscript n minus 1 end subscript plus 7
    Step 2 of 2:
    The given sequence is an AP.
    So, The explicit formula 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 a subscript n equals 12 plus left parenthesis n minus 1 right parenthesis 7 end cell row cell a subscript n equals 12 plus 7 n minus 7 end cell end table

    a subscript n equals 7 n plus 5
    .

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