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the sum of three consecutive terms in an arithmetic sequence is 30, and their product is 360.
Find the three terms.
Let x denote the middle term and d the common difference.
well i got so far:
______+________+__________= 30
but
______x________x__________=360
ya, thats as far as I got and i am still stumped. I tried all kinds of things but i cant seem to get the right sum and multiplied values
 one year ago
 one year ago
the sum of three consecutive terms in an arithmetic sequence is 30, and their product is 360. Find the three terms. Let x denote the middle term and d the common difference. well i got so far: ______+________+__________= 30 but ______x________x__________=360 ya, thats as far as I got and i am still stumped. I tried all kinds of things but i cant seem to get the right sum and multiplied values
 one year ago
 one year ago

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lilsis76Best ResponseYou've already chosen the best response.0
do i divide by 36? how do i know what to put in for the middle parts? i remember class mates saying something by going up or down by a k, or a 1 or something. is there a rule or something like that I have to know?
 one year ago

cnkndBest ResponseYou've already chosen the best response.1
ok, using your notation, x is the middle term, d is the common difference: (xd) + x + (x+d) = 30. so what's x?
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay so the the left would be negative and the right would be positive.
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay @cnknd would it be 105 + 10 + 10+5 = 30?
 one year ago

cnkndBest ResponseYou've already chosen the best response.1
ugh... what???? ok take a step back, forget i told u that middle term is 10. look at the equation for the sum: (xd) + x + (x+d) = 30 can u find x and d from this?
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay well i was thinking the 30/3 = the 10
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
@cnknd okay the d is the difference and x is the actual number. i am lost as to where to start
 one year ago

cnkndBest ResponseYou've already chosen the best response.1
(xd) + x + (x+d) = 30 can you solve for either x or d?
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
i think we can solve the x. the 3x= 30 so x=10, right?
 one year ago

cnkndBest ResponseYou've already chosen the best response.1
yes but you can't really determine what d is though.
 one year ago

cnkndBest ResponseYou've already chosen the best response.1
but at least now you know why the x (the middle number) is 10.
 one year ago

cnkndBest ResponseYou've already chosen the best response.1
you can probably guess and check for the other 2 numbers (that's what i did)
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
okay, let me try and ill get back to you on this in a little
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
GOT IT! (108) +/* 10 +/* (10+8) +=30 * =360
 one year ago

lilsis76Best ResponseYou've already chosen the best response.0
THANK YOU SO MUCH @cnknd
 one year ago
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