Question 662385
since you are given _____, _______, ____, ____, 27, ____, ____, 42        / 

{{{a1 = 7}}}...means you have first term already


To find any term of an arithmetic sequence:

{{{a[n]=a[1]+(n-1)d}}}

where {{{a[1]}}} is the first term of the sequence, {{{d}}} is the common difference, {{{n}}} is the number of the term to find

given:

{{{a[1]=7}}}

{{{d=5}}}


{{{n=2}}}

{{{a[2]=7+(2-1)5}}}

{{{a[2]=7+5}}}

{{{a[2]=12}}}


{{{n=3}}}

{{{a[3]=7+(3-1)5}}}

{{{a[3]=7+10}}}

{{{a[3]=17}}}



{{{n=4}}}

{{{a[4]=7+(4-1)5}}}

{{{a[4]=7+15}}}

{{{a[4]=22}}}



{{{n=5}}}

{{{a[5]=7+(5-1)5}}}

{{{a[5]=7+20}}}

{{{a[5]=27}}}

so, you have a sequence where you just need to add {{{5}}} to each term to arrive at the next term

 {{{7}}}, {{{12}}}, {{{17}}}, {{{22}}}, {{{27}}}, {{{32}}},{{{37}}}, {{{42}}}