Question 1179140


the missing terms of the arithmetic sequence. ...,-7,?,?,?, 13,......

nth term formula of the arithmetic sequence is:

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

given

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

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

{{{a[5]=13}}}

{{{13=-7+d(5-1)}}}

{{{13=-7+4d}}}

{{{13+7=4d}}}

{{{20=4d}}}

{{{d=5}}}

your formula is

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

next term is

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

then comes

{{{a[3]=-7+5(3-1)}}}
{{{a[3]=-7+5*2}}}
{{{a[3]=3}}}

then comes

{{{a[4]=-7+5(4-1)}}}
{{{a[4]=-7+5*3}}}
{{{a[4]=8}}}


...,{{{-7}}},{{{-2}}},{{{3}}},{{{8}}}, {{{13}}},......