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lilsis76
Group Title
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
 2 years ago
 2 years ago
lilsis76 Group Title
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
 2 years ago
 2 years ago

This Question is Closed

cnknd Group TitleBest ResponseYou've already chosen the best response.1
middle term must be 10
 2 years ago

lilsis76 Group TitleBest 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?
 2 years ago

cnknd Group TitleBest 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?
 2 years ago

lilsis76 Group TitleBest ResponseYou've already chosen the best response.0
okay so the the left would be negative and the right would be positive.
 2 years ago

lilsis76 Group TitleBest ResponseYou've already chosen the best response.0
okay @cnknd would it be 105 + 10 + 10+5 = 30?
 2 years ago

cnknd Group TitleBest 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?
 2 years ago

lilsis76 Group TitleBest ResponseYou've already chosen the best response.0
okay well i was thinking the 30/3 = the 10
 2 years ago

lilsis76 Group TitleBest 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
 2 years ago

cnknd Group TitleBest ResponseYou've already chosen the best response.1
(xd) + x + (x+d) = 30 can you solve for either x or d?
 2 years ago

lilsis76 Group TitleBest ResponseYou've already chosen the best response.0
i think we can solve the x. the 3x= 30 so x=10, right?
 2 years ago

cnknd Group TitleBest ResponseYou've already chosen the best response.1
yes but you can't really determine what d is though.
 2 years ago

cnknd Group TitleBest ResponseYou've already chosen the best response.1
but at least now you know why the x (the middle number) is 10.
 2 years ago

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

lilsis76 Group TitleBest ResponseYou've already chosen the best response.0
okay, let me try and ill get back to you on this in a little
 2 years ago

lilsis76 Group TitleBest ResponseYou've already chosen the best response.0
GOT IT! (108) +/* 10 +/* (10+8) +=30 * =360
 2 years ago

lilsis76 Group TitleBest ResponseYou've already chosen the best response.0
THANK YOU SO MUCH @cnknd
 2 years ago
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