who knows about Arithmetic series????????????
will medal & fan
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OpenStudy (agent0smith):
A lot of people
OpenStudy (supercalifragalisticexspeaalli):
r u
OpenStudy (agent0smith):
Just ask the question already lol
OpenStudy (supercalifragalisticexspeaalli):
lol k
OpenStudy (supercalifragalisticexspeaalli):
Mike started a savings account by depositing $9. Each month, he deposits more money than the month before. At the end of 41 months, he has saved $9,389.00. How much more does he deposit each month?
$11.00
$11.50
$12.00
$12.50
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OpenStudy (supercalifragalisticexspeaalli):
?
OpenStudy (agent0smith):
hopefully you have seen this\[\large a_n = a_1 + (n-1)d\]a1 is first term, d is common difference
and \[\large S_n = \frac{ n(a_1+a_n) }{ 2 }\]where Sn is the sum of the first n terms
OpenStudy (supercalifragalisticexspeaalli):
OH SO HOW WOULD WE DO THT
OpenStudy (agent0smith):
started a savings account by depositing $9 - so a1 = 9
end of 41 months - so n =41
he has saved $9,389.00 - so Sn = 9,389
How much more does he deposit each month? - we need to find d
First, plug all those numbers into the second formula, the Sn one
OpenStudy (supercalifragalisticexspeaalli):
ok
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OpenStudy (supercalifragalisticexspeaalli):
so how would that even look like
OpenStudy (agent0smith):
\[\large S_n = \frac{ n(a_1+a_n) }{ 2 }\]
plug in
a1 = 9
n =41
Sn = 9,389