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Mathematics
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OpenStudy (anonymous):
help with sigma notation please
12 years ago
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OpenStudy (anonymous):
\[\sum_{i=1}^{7}4(3)(i-1)\]
12 years ago
OpenStudy (anonymous):
@jim_thompson5910
12 years ago
OpenStudy (anonymous):
Determine the geometric partial sum
12 years ago
jimthompson5910 (jim_thompson5910):
this is a geometric series, but I don't see any exponents
12 years ago
jimthompson5910 (jim_thompson5910):
is the "i-1" an exponent?
12 years ago
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OpenStudy (anonymous):
yes
12 years ago
jimthompson5910 (jim_thompson5910):
ok you plug in i = 1, i = 2, i = 3, etc all the way up to i = 7
evaluate each expression, then add up the results
12 years ago
jimthompson5910 (jim_thompson5910):
sound doable?
12 years ago
OpenStudy (anonymous):
yes
4(3)^(1-1)+ 4(3)^(2-1)+ 4(3)^(3-1)+ 4(3)^(4-1)+ 4(3)^(5-1)+ 4(3)^(6-1)+ 4(3)^(7-1)
12^0 12^1 12^2 12^3 12^4 12^5 12^6
1+12+144+1728+20736+248832+2985984
3257437
thank you
12 years ago
jimthompson5910 (jim_thompson5910):
hmm that answer is way too big
12 years ago
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jimthompson5910 (jim_thompson5910):
4(3)^(1-1)+ 4(3)^(2-1)+ 4(3)^(3-1)+ 4(3)^(4-1)+ 4(3)^(5-1)+ 4(3)^(6-1)+ 4(3)^(7-1)
4(3)^(0)+4(3)^(1)+4(3)^(2)+4(3)^(3)+4(3)^(4)+4(3)^(5)+4(3)^(6)
4(1)+4(3)+4(9)+4(27)+4(81)+4(243)+4(729) <--- you followed PEMDAS incorrectly on this step
4+12+36+108+324+972+2916
4372
12 years ago
OpenStudy (anonymous):
darn it, we're dumb. thanks though
12 years ago
jimthompson5910 (jim_thompson5910):
silly mistake, yw
12 years ago
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