1. Write the first five terms fo the sequence defined recursively:
a (small) 1 = 6, a (small) 'k+1 = a (small) k +1
2. For the series 'infinity'
E 5/10 find (a) the third partial sum and (b) the sum
n=1
1. Write the first five terms fo the sequence defined recursively:
a (small) 1 = 6, a (small) 'k+1 = a (small) k +1
I think that you mean
a subtext1 =6 a subtext(k+1) =a subtext(k) +1
\(a_1=6,\qquad a_{k+1}=a_k+1\\~\\ a_1=6\\ a_2=6+1=7\\ a_3=7+1=8\\ a_4=8+1=9\\ a_5=10\)
2. For the series 'infinity'
E 5/10 find (a) the third partial sum and (b) the sum
n=1
\(\displaystyle\sum_{n=1}^{\infty}\;\;\frac{1}{2}\)
this makes no sense, there must be an 'n' in with the 1/2 somewhere ........