SOLUTION: Find the fifth term of the following sequence: a1 = 2; an = n^2 + an-1

Algebra.Com
Question 1035560: Find the fifth term of the following sequence: a1 = 2; an = n^2 + an-1



Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Find the fifth term of the following sequence: a1 = 2; an = n^2 + an-1
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I will show you how to find the second therm.
Simply plug in the number "2" instead of n into the formula

 = .   (1)

You will get 

 =  =  = 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

 =  =  = 15.


Go further in the same manner and get  and .


RELATED QUESTIONS

find the fifth term of the sequence, a1 = 1/2, an =... (answered by stanbon)
Find the fourth term in the following recursively defined sequence. a1 = 2 an =... (answered by stanbon)
Let {an}∞n=1 be a sequence whose partial sums are {Sn}∞n=1. Suppose that a1=2 (answered by greenestamps)
The recursive formula for the term of a particular sequence is given by An=A(n-1)+3 where (answered by richwmiller)
Use the formula for the general term (the nth term) of a geometric sequence to find the... (answered by MathLover1)
Use the explicit formula an=a1+(n-1)d to find the 1000th term of the sequence below.... (answered by stanbon)
Use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence below.... (answered by nerdybill)
Find the 97th term for the sequence: -3, -6, -12 I got as far as: a1=-3 r=2 an=3 x... (answered by josmiceli)
1) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the... (answered by ikleyn)