Maths-
General
Easy

Question

Write recursive formula and find the first term. a subscript n equals 7 plus 1 fourth n

hintHint:

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

The correct answer is: a_n=a_(n-1)+1/4


    Explanation:
    • We have given a explicit function a subscript n equals 7 plus 1 fourth 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 plus 1 fourth 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 plus 1 fourth n end cell row cell a subscript n equals 7 plus 1 fourth left parenthesis 1 right parenthesis end cell row cell a subscript n equals 29 over 4 end cell end table
    Step 2 of 2:
    Now for recursive formula we will calculate .
    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 plus 1 fourth left parenthesis n minus 1 right parenthesis end cell row cell a subscript n minus 1 end subscript equals 7 plus 1 fourth n minus 1 fourth end cell row cell a subscript n minus 1 end subscript equals a subscript n minus 1 fourth end cell row cell a subscript n equals a subscript n minus 1 end subscript plus 1 fourth end cell end table

    Related Questions to study

    General
    Maths-

    How can you graph a rational function ?

    How can you graph a rational function ?

    Maths-General
    General
    Maths-

    Write an equation of a line that passes through the given line and is parallel to the given line.
    left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5

    Write an equation of a line that passes through the given line and is parallel to the given line.
    left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5

    Maths-General
    General
    Maths-

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

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

    Maths-General
    parallel
    General
    Maths-

    Write an equation of a line that passes through the given line and is parallel to the given line.
    left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4

    Write an equation of a line that passes through the given line and is parallel to the given line.
    left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4

    Maths-General
    General
    Maths-

    Write recursive formula and find the first term. a subscript n equals 35 plus 52 n

    Write recursive formula and find the first term. a subscript n equals 35 plus 52 n

    Maths-General
    General
    Maths-

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

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

    Maths-General
    parallel
    General
    Maths-

    Identify the asymptotes and sketch the graph of straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction

    Identify the asymptotes and sketch the graph of straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction

    Maths-General
    General
    Maths-

    Write recursive formula and find the first term. a subscript n equals 108 minus n

    Write recursive formula and find the first term. a subscript n equals 108 minus n

    Maths-General
    General
    Maths-

    Are graphs of the equations parallel, perpendicular or neither?
    y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2

    Are graphs of the equations parallel, perpendicular or neither?
    y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2

    Maths-General
    parallel
    General
    Maths-

    Write recursive formula and find the first term. a subscript n equals 10 plus 8 n

    Write recursive formula and find the first term. a subscript n equals 10 plus 8 n

    Maths-General
    General
    Maths-

    Are graphs of the equations parallel, perpendicular or neither?
    x minus 3 y equals 6 space straight & space x minus 3 y equals 9

    Are graphs of the equations parallel, perpendicular or neither?
    x minus 3 y equals 6 space straight & space x minus 3 y equals 9

    Maths-General
    General
    Maths-

    What is the graph of f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction

    What is the graph of f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction

    Maths-General
    parallel
    General
    Maths-

    Find the equation for a path that passes through the point (-4, 9) and is parallel to y equals negative 3 over 4 x plus 1.

    Find the equation for a path that passes through the point (-4, 9) and is parallel to y equals negative 3 over 4 x plus 1.

    Maths-General
    General
    Maths-

    Write explicit formula. a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3

    Write explicit formula. a subscript n equals a subscript n minus 1 end subscript minus 7 semicolon a subscript 1 equals negative 3

    Maths-General
    General
    Maths-

    Write explicit formula. a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12

    Write explicit formula. a subscript n equals a subscript n minus 1 end subscript plus 1 semicolon a subscript 1 equals 12

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.