Babynini
  • Babynini
A partial sum of an arithmetic sequence is given. Find the sum. 1+5+9+...+401
Mathematics
chestercat
  • chestercat
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Babynini
  • Babynini
a=1, d=4 Sn=(n/2)(a1+a2) I'm not sure how to plug in these numbers though!
Babynini
  • Babynini
@jim_thompson5910 :) do you have time?
jim_thompson5910
  • jim_thompson5910
it should be Sn = (n/2)(a1 + an)

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jim_thompson5910
  • jim_thompson5910
an = a1 + d(n-1)
Babynini
  • Babynini
right right.
jim_thompson5910
  • jim_thompson5910
First you need to find n
jim_thompson5910
  • jim_thompson5910
an = a1 + d(n-1) 401 = 1 + 4(n-1) n = ??
Babynini
  • Babynini
101 ?
jim_thompson5910
  • jim_thompson5910
yes
jim_thompson5910
  • jim_thompson5910
a1 = 1 an = 401 n = 101 Sn = (n/2)*(a1 + an)
Babynini
  • Babynini
er so sn=20301
jim_thompson5910
  • jim_thompson5910
I got the same
jim_thompson5910
  • jim_thompson5910
wolfram agrees http://www.wolframalpha.com/input/?i=1%2B5%2B9%2B...%2B401
Babynini
  • Babynini
haha yay! the wolfram stamp of approval x) thanks so much.
jim_thompson5910
  • jim_thompson5910
np

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