Question 1035560
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Find the fifth term of the following sequence: a1 = 2; an = n^2 + an-1
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I will show you how to find the second therm.
Simply plug in the number "2" instead of n into the formula

{{{a[n]}}} = {{{n^2 + a[n-1]}}}.   (1)

You will get 

{{{a[2]}}} = {{{2^2 + a[1]}}} = {{{4 + 2}}} = 4 + 2 = 6.


Next, I will show you how to find the third therm.
Simply plug in the number "3" instead of n into the formula (1). You will get

{{{a[3]}}} = {{{3^2 + a[2]}}} = {{{9 + 6}}} = 15.


Go further in the same manner and get {{{a[4]}}} and {{{a[5]}}}.
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