Hanukkah is a Jewish Festival that lasts 8 days. Two candles are lit on the first night of Hanukkah. Every night after that, those candles are replaced and one is added. How many candles have been used by the time Hanukkah ends?
2006-08-24 10:08:52 · 19 answers · asked by ModernMerlin 5 in Science & Mathematics ➔ Mathematics
Hanukkah is a Jewish Festival that lasts 8 days. Two candles are lit on the first night of Hanukkah. Every night after that, those candles are replaced and one is added. How many candles have been used by the time Hanukkah ends?
ADDENDUM:
The answer my son came up with was indeed 44. My son is a straight A student, and was baffled when the teacher said the answer was wrong. I redid the problem many times, rereading and looking for "loopholes". Each time I, of course, came up with 44. I will post the answer when she gives it. But I will argue with her about anything but 44. LOL
2006-08-24 10:43:33 · update #1
first day there were 2 candles used
next day both were replaced and 1 was added therefore we have 3 now
the next day same happens all replaced and one added
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2 + (2+1)+(3+1)...(8+1) = 44
hope that helps
2006-08-24 10:21:37 · answer #1 · answered by bz_co0l@rogers.com 3 · 1⤊ 0⤋
2+3+4+5+6+7+8+9 = 44
2006-08-24 10:15:25 · answer #2 · answered by steve_writes 2 · 1⤊ 0⤋
This would be 44.
The easy way is 2+3+4+5+6+7+8+9=44.
The "hard" way, which is as easy, is to make a general case out of this question, thus calling this an arithmetic series, starting from 2 (a1=2), progressing by steps of 1 (d=1), and has 8 members (n=8). The formula for a sum of an arithmetic series is (2a1+d(n-1))*n/2, or in this case (2*2+1(8-1))*8/2=(4+1*7)*4=11*4=44.
By the way, if you're Jewish (which I assume you are...) you'll probably notice that the packages of candles for Hanukka contain 44 candles (sometimes 45, with an extra one...).
2006-08-24 10:27:04 · answer #3 · answered by OR13 2 · 1⤊ 0⤋
2+3+4+5+6+7+8+9=44 coz it asks about how many candles have been used by the end of Hanukkah.But the answer would change if the question asks how many candles are there lit by the end of Hanukkah.
2006-08-24 10:17:55 · answer #4 · answered by Srishta C 1 · 1⤊ 0⤋
day one 2 candles are used and further 1 more is added so
day 1:2 candles
day 2:3candles
day 3:4 candles
day 4:5 candles
day 5:6 candles
day 6:7 candles
day 7:8 candles
day 8:9 candles
therefore adding candles for 8 days
2+3+4+5+6+7+8+9=44 candles been used by end of hanukkah.
2006-08-24 10:18:31 · answer #5 · answered by rx.vinay.ph 2 · 2⤊ 0⤋
First day 2 candles. Second, 3, Third, 4 and so on. Add 2 +3 +4 +5 +6 +7 +8+9= 44. I know. Sometimes those simple problems can get confusing. Good luck!
2006-08-24 10:15:06 · answer #6 · answered by Anonymous · 1⤊ 0⤋
If 8 days and 8 nights...
2+3+4+5+6+7+8+9=44 candles total...would be my guess.
What is the correct answer?
2006-08-24 10:22:05 · answer #7 · answered by bmoolb 2 · 1⤊ 0⤋
Easeir than adding (and notice skaichic made an error adding) is to notice that the first and last days between them use 11 candles (2 + 9), the second day and the second-from-last use 11 candles (3 + 8), and every such matched pair of days uses 11 candles. There are 4 such pairs, so 44 candles.
And it's back to Hebrew School for charlotte red sox. The Hebrew "day" starts at sunset, not when the moon rises.
2006-08-24 10:24:26 · answer #8 · answered by ? 6 · 1⤊ 0⤋
Definitely 44
2006-08-24 10:16:05 · answer #9 · answered by Hugh Jafro 2 · 1⤊ 0⤋
Assuming 8 days means 7 nights, and you're saying all of the previous candles are replaced each night,
2+3+4+5+6+7+8 = 35
2006-08-24 10:13:35 · answer #10 · answered by Ken H 4 · 0⤊ 2⤋
44
2006-08-24 10:11:37 · answer #11 · answered by STONE COLD 1 · 1⤊ 0⤋