Maths-
General
Easy

Question

Write recursive formula and find the first term. a subscript n equals 12 n minus 29

Hint:

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

The correct answer is: a_(n-1)=a_n-12.


    Explanation:
    • We have given a explicit function a subscript n equals 12 n minus 29.
    • We have to find the recursive formula and first term.
    Step 1 of 2:
    We have given explicit formula a subscript n equals 12 n minus 29.
    First term 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 n minus 29 end cell row cell a subscript 1 equals 12 left parenthesis 1 right parenthesis minus 29 end cell row cell a subscript 1 equals negative 17 end cell end table
    Step 2 of 2:
    Now for recursive formula we will calculate an-1.
    So,

    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 minus 1 end subscript equals 12 left parenthesis n minus 1 right parenthesis minus 29 end cell row cell a subscript n minus 1 end subscript equals 12 n minus 12 minus 29 end cell row cell a subscript n minus 1 end subscript equals 12 n minus 29 minus 12 end cell end table

    a subscript n minus 1 end subscript equals a subscript n minus 12
    .

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