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Mathematics 16 Online
OpenStudy (lindseyhope123):

please help:))

OpenStudy (lindseyhope123):

OpenStudy (lindseyhope123):

@jim_thompson5910 :) ha another, you seem to be really helping me today!

jimthompson5910 (jim_thompson5910):

what do you have so far?

OpenStudy (lindseyhope123):

i though n was 1, d was 3, and an was 60 and the final answer was 119 but i was wrong

jimthompson5910 (jim_thompson5910):

the sequence of pennies goes like this: 1, 3, 5, 7, 9, ...

jimthompson5910 (jim_thompson5910):

what pattern is happening here?

OpenStudy (lindseyhope123):

plus 2

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

so d = 2

jimthompson5910 (jim_thompson5910):

we'll use n = 60 because there are 60 terms here (from day 1 to day 60)

OpenStudy (lindseyhope123):

okay

jimthompson5910 (jim_thompson5910):

Now we plug a1 = 1, d = 2 and n = 60 into the formula below to get... \[\Large a_n = a_1 + d(n-1)\] \[\Large a_n = 1 + 2(n-1)\] \[\Large a_n = 1 + 2(60-1)\] \[\Large a_n = ???\]

OpenStudy (lindseyhope123):

177?

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

you need to follow PEMDAS

jimthompson5910 (jim_thompson5910):

you do NOT do 3*59 = 177

OpenStudy (lindseyhope123):

oops 119

jimthompson5910 (jim_thompson5910):

yes 119

jimthompson5910 (jim_thompson5910):

so day 1 = 1 penny day 2 = 3 pennies day 3 = 5 pennies day 4 = 7 pennies ... ... ... ... day 60 = 119 pennies

OpenStudy (lindseyhope123):

so an and the final is both 119

jimthompson5910 (jim_thompson5910):

now we use this formula \[\Large S = \frac{n*(a_1+a_n)}{2}\] plug in the values to get \[\Large S = \frac{60*(1+119)}{2}\] \[\Large S = ???\]

OpenStudy (lindseyhope123):

3600

jimthompson5910 (jim_thompson5910):

so.... n = 60 d = 2 a_n = 119 (when n = 60) S = 3600 see attached

OpenStudy (lindseyhope123):

thank you

jimthompson5910 (jim_thompson5910):

be careful to type `3600` and not `3,600` otherwise the computer will think you're typing in 2 different values

jimthompson5910 (jim_thompson5910):

np

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