Maths-
General
Easy

Question

Write recursive formula and find the first term. a subscript n equals 7 over 2 minus 3 n

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+3.


    Explanation:
    • We have given a explicit function a subscript n equals 7 over 2 minus 3 n.
    • We have to find the recursive formula and first term.
    Step 1 of 2:
    We have given explicit formula a subscript n equals 7 over 2 minus 3 n.
    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 7 over 2 minus 3 n end cell row cell a subscript n equals 7 over 2 minus 3 left parenthesis 1 right parenthesis end cell row cell a subscript n equals 1 half 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 7 over 2 minus 3 left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 7 over 2 minus 3 n plus 3 end cell row cell a subscript n minus 1 end subscript equals a subscript n plus 3. end cell end table

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