Mathematics
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zarkam21:
Help with arithmetic series
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zarkam21:
Vocaloid:
first calculate the formula for the arithmetic series
Vocaloid:
an = a1 + (n-1)d = ?
zarkam21:
okay so
zarkam21:
a1 would be the first value right
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Vocaloid:
yes
zarkam21:
so 3?
Vocaloid:
yes
zarkam21:
okay and an would be 365 ?
Vocaloid:
leave an and n alone
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zarkam21:
Because that is how many days there are in one year
zarkam21:
ohh okay..
zarkam21:
So just use the a1 value of 3
Vocaloid:
also find d
zarkam21:
what does d stand for again in our equation
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Vocaloid:
the common difference
zarkam21:
well its adding 3?
Vocaloid:
good so d = 3
Vocaloid:
an = 3 + (n-1)3
now we use the sum formula for n = 365
zarkam21:
okay so 3+(365-1)3 right
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Vocaloid:
|dw:1510030566673:dw|
Vocaloid:
^ calculate an for n = 365 then use the above formula
zarkam21:
so is the equation I wrote right for me to solve
Vocaloid:
start with this an = 3 + (n-1)3
Vocaloid:
then find sn
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zarkam21:
well I would substitute in 365 right
Vocaloid:
yes
zarkam21:
an = 3 + (n-1)3
an = 3 + (365-1)3
an = 3 + (364)3
an = 3 + 1092
an = 1095
Vocaloid:
good now find sn
zarkam21:
1095/2(3+3)
547.5*6
3285
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Vocaloid:
n = 365
an = 1095
a1 = 3
calculate sn
zarkam21:
365/2(3+1095)
182.5*1098
200385
Vocaloid:
good, and 200385 pennies is worth...?
zarkam21:
umm 200 dollars
zarkam21:
or 20000
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Vocaloid:
be exact please
Vocaloid:
hint: 100 pennies = 1 dollar
zarkam21:
2003.85
Vocaloid:
good so that's your answer, 2003.85