Mathematics
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OpenStudy (anonymous):
find sum of the 1st 20 terms in the arithmetic series 5,8,11,14
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OpenStudy (amistre64):
what do we add to get to each next term?
OpenStudy (amistre64):
called a common difference
OpenStudy (anonymous):
3
OpenStudy (amistre64):
3 is right :)
so, Sn = n(first+last)/2 if i recall it right
OpenStudy (amistre64):
to determine the 20th term is a20 = 5+3(19) = 62
62+5 = 67*20/2 = 670 ... if my math was good
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OpenStudy (anonymous):
Oh so it's 670? Thank you so so so much! wow thank you.
OpenStudy (amistre64):
i hope so, id dbl chk with the wolf:
sum (5+3(n-1)) from 1 to 20
OpenStudy (amistre64):
670 :)
OpenStudy (anonymous):
Can you help me with one more? Find the 7th term in the geometric sequence 4,20,11
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OpenStudy (amistre64):
20/4 = our common ratio
an = a1 * r^(n-1)
a7 = 4 * (20/5)^6
OpenStudy (amistre64):
your 11 is bad there, is that a typo?
OpenStudy (anonymous):
sorry i meant 100
OpenStudy (anonymous):
yes :/
OpenStudy (amistre64):
whew!! lol, then yeah; 4*5^6 should do it
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OpenStudy (anonymous):
so a^7 = 4*5^6?
OpenStudy (anonymous):
dd you get 250?
OpenStudy (amistre64):
i think its bigger than that; 5^4 = 25^2 = 625 alone
OpenStudy (amistre64):
625*20 is what id end up with
OpenStudy (amistre64):
12500 perhaps? hard to do in the head :)
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OpenStudy (amistre64):
i left off the last *5 ....
12500*5=62500