Maths-
General
Easy

Question

Write an explicit formula for the arithmetic sequence.
an = 8 + 3n

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 an explicit formula an = 8 + 3n
    • We have to find the recursive formula
    Step 1 of 1:
    We have given a explicit formula an = 8 + 3n

    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 1 equals 8 plus 3 end cell row cell a subscript 1 equals 11 end cell end table
    Now,

    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 8 plus 3 left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 8 plus 3 n minus 3 end cell row cell a subscript n minus 1 end subscript equals a subscript n minus 3 end cell end table
    So, The recursive formula is a subscript n minus 1 end subscript equals a subscript n minus 3.

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