Question 975143

In an Arithmetic Sequence the difference between one term and the next is a constant.

In General we could write an arithmetic sequence like this:

{ {{{a[1]}}}, {{{a[1]+d}}}, {{{a[1]+2d}}}, {{{a[1]+3d}}}, ... }

where:

    {{{a[1]}}} is the {{{first}}} term, and
    {{{d }}}is the difference between the terms (called the "common difference")

you are given: {{{a[1]=1}}} and {{{d=1}}} and you need to find first six terms

so, it is

{{{a[1]}}}, {{{a[1]+d}}}, {{{a[1]+2d}}}, {{{a[1]+3d}}},{{{a[1]+4d}}},{{{a[1]+5d}}},

substitute {{{a[1]=1}}} and {{{d=1}}}


{{{1}}}, {{{1+1}}}, {{{1+2*1}}}, {{{1+3*1}}},{{{1+4*1}}},{{{1+5*1}}},


{{{1}}}, {{{2}}}, {{{3}}}, {{{4}}},{{{5}}},{{{6}}}


you could do it without all that above; simply, if you know first term is {{{1}}} and common difference is {{{1}}}, means each next term is {{{1}}} greater than previous term

so, if first term is {{{1}}}, next term is {{{2}}}, next term is {{{3}}}, and so on