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Mathematics 14 Online
zarkam21:

Help with arithmetic series

zarkam21:

1 attachment
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

Vocaloid:

yes

zarkam21:

so 3?

Vocaloid:

yes

zarkam21:

okay and an would be 365 ?

Vocaloid:

leave an and n alone

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

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

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

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

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

Vocaloid:

be exact please

Vocaloid:

hint: 100 pennies = 1 dollar

zarkam21:

2003.85

Vocaloid:

good so that's your answer, 2003.85

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