Babynini
  • Babynini
A partial sum of an arithmetic sequence is given. Find the sum. 10 over sigma k=0 under sigma. (3+0.25k) beside sigma
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Babynini
  • Babynini
\[\Sigma (3+0.25k)\] with 10 on top and k=0 under the sigma
Babynini
  • Babynini
@freckles have time? :)
Babynini
  • Babynini
@zepdrix

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More answers

Babynini
  • Babynini
would the first step be to solve for k? how do I do that? o.o
Babynini
  • Babynini
@peachpi
anonymous
  • anonymous
|dw:1434069542255:dw|
anonymous
  • anonymous
Start by plugging in 0 for k to solve for a0, then plug in 10 to find a10
Babynini
  • Babynini
oo not sn=(n/2)(a1+an) ?
anonymous
  • anonymous
no. Generally use a1 for the sum of the first n terms, but they started this one at 0
Babynini
  • Babynini
ah yes I see. ok.
Babynini
  • Babynini
so plug in 0 for k in 3+0.25k ? then a0 would be = 3
anonymous
  • anonymous
yes
Babynini
  • Babynini
Where do I plug the 10 in?
anonymous
  • anonymous
into the same formula
Babynini
  • Babynini
for k? = 5.5
anonymous
  • anonymous
yes
Babynini
  • Babynini
and that is what a_10 equals?
anonymous
  • anonymous
right
anonymous
  • anonymous
and n = 11
Babynini
  • Babynini
how'd you find that? o.o
anonymous
  • anonymous
10-0+1
Babynini
  • Babynini
..hah ok. so then the whole thing equals 46.75
anonymous
  • anonymous
basically there are 11 numbers from 0 to 10 inclusive
anonymous
  • anonymous
that's right
Babynini
  • Babynini
ah gotcha. That makes more sense.
Babynini
  • Babynini
yay!! thanks :)
anonymous
  • anonymous
you're welcome
Babynini
  • Babynini
n represents how many numbers there are in total then.
anonymous
  • anonymous
yes it does
Babynini
  • Babynini
okies. :)

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