Question 1158456

9.

 an Arithmetic Sequence as a rule:

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

if {{{a[1]=24 }}} and {{{d=5}}}


 the explicit formula is:

{{{a[n] = 24 + 5(n-1)}}}

the {{{37}}}th term is:

{{{a[37] = 24 + 5(37-1)}}}

{{{a[37] = 24 + 5(36)}}}

{{{a[37] = 24 + 180}}}

{{{a[52] = 204}}}


10.

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

{{{a[1]=0}}} and{{{d=-3}}}


 the explicit formula is:

{{{a[n] = 0 -3(n-1)}}}

{{{a[n] = -3(n-1)}}}


the {{{37}}}th term is:

{{{a[37] = -3(37-1)}}}

{{{a[37] = -3(36)}}}
{{{a[37] = -108}}}