Maths-
General
Easy

Question

Write explicit formula. a subscript n equals a subscript n minus 1 end subscript plus 15 semicolon a subscript 1 equals 8

hintHint:

  • A sequence is said to be arithmetic if the common difference is always constant.
  • The General formula of any AP is a subscript n equals a subscript 1 plus left parenthesis n minus 1 right parenthesis d.

The correct answer is: a_n=15n-7


    Explanation:
    • We have given a subscript n equals a subscript n minus 1 end subscript plus 15 comma a subscript 1 equals 8
    • We have to find the explicit formula of the given sequence.
    Step 1 of 1:
    We know that the recursive formula of an AP is a subscript n equals a subscript n minus 1 end subscript plus d, where d is common difference.
    Here we have a subscript n equals a subscript n minus 1 end subscript plus 15
    So, d = 15
    Also, We have a1 = 8
    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 a subscript 1 plus left parenthesis n minus 1 right parenthesis d end cell row cell a subscript n equals 8 plus left parenthesis n minus 1 right parenthesis 15 end cell row cell a subscript n equals 15 n minus 7 end cell end table

    Related Questions to study

    General
    Maths-

    Graph each function f left parenthesis x right parenthesis equals fraction numerator 4 x minus 3 over denominator x plus 8 end fraction

    Graph each function f left parenthesis x right parenthesis equals fraction numerator 4 x minus 3 over denominator x plus 8 end fraction

    Maths-General
    General
    Maths-

    What is the graph of the functionf left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction

    What is the graph of the functionf left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction

    Maths-General
    General
    Maths-

    Write recursive formula and explicit formula. -15,-6,-3,12,21,...

    Write recursive formula and explicit formula. -15,-6,-3,12,21,...

    Maths-General
    parallel
    General
    Maths-

    The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

    The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.

    Maths-General
    General
    Maths-

    Write recursive formula and explicit formula. 62,57,52,47,42,...

    Write recursive formula and explicit formula. 62,57,52,47,42,...

    Maths-General
    General
    Maths-

    Write recursive formula and explicit formula. -4, 5,14,23,32,...

    Write recursive formula and explicit formula. -4, 5,14,23,32,...

    Maths-General
    parallel
    General
    Maths-

    What are the vertical and horizontal asymptotes of the graph of each function?
    fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction

    What are the vertical and horizontal asymptotes of the graph of each function?
    fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction

    Maths-General
    General
    Maths-

    The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.

    The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.

    Maths-General
    General
    Maths-

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

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

    Maths-General
    parallel
    General
    Maths-

    What are the vertical and horizontal asymptotes of the graph of each function?
    G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction
     

    What are the vertical and horizontal asymptotes of the graph of each function?
    G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction
     

    Maths-General
    General
    Maths-

    Are graphs of the equations parallel, perpendicular or neither?
    y equals negative 5 x space straight & space 25 x plus 5 y equals 1

    Are graphs of the equations parallel, perpendicular or neither?
    y equals negative 5 x space straight & space 25 x plus 5 y equals 1

    Maths-General
    General
    Maths-

    Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...

    Tell whether the given sequence is an arithmetic sequence. 93,86,79,72,66,...

    Maths-General
    parallel
    General
    Maths-

    Are graphs of the equations parallel, perpendicular or neither?
    y equals 2 x plus 6 space straight & space y equals 1 half x plus 3

    Are graphs of the equations parallel, perpendicular or neither?
    y equals 2 x plus 6 space straight & space y equals 1 half x plus 3

    Maths-General
    General
    Maths-

    Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...

    Tell whether the given sequence is an arithmetic sequence. 37,3,31,29,26,23,...

    Maths-General
    General
    Maths-

    What are the horizontal asymptotes for the graph
    f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction

    What are the horizontal asymptotes for the graph
    f left parenthesis x right parenthesis equals fraction numerator 3 x minus 2 over denominator x squared plus 7 x plus 12 end fraction

    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.