Find the four arithmetic means between -21 and -36.

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Find the four arithmetic means between -21 and -36.

Mathematics
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-21 is the first term -21+d is the next term right after the first term. The d is some unknown common difference add d to the last term, -21+d, to get (-21+d)+d = -21+d+d = -21+2d
so far we have first term: -21 second term: -21+d third term: -21+2d what would be the fourth term?

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-21 + 3d?
correct, how about the fifth term?
-21 + 6d
you add d to the fourth term fifth term = (fourth term) + d
4d
yep, so we have this summary so far first term: -21 second term: -21+d third term: -21+2d fourth term: -21+3d fifth term: -21+4d
the second term through the fifth term will be the middle four terms the last term, the sixth term, we need is sixth term = (fifth term) + d sixth term = (-21+4d) + d sixth term = -21+5d
first term: -21 second term: -21+d third term: -21+2d fourth term: -21+3d fifth term: -21+4d sixth term: -21+5d
the sixth term is also equal to -36 which is given at the top, so, sixth term = -21+5d -21 + 5d = -36 solve for d and tell me what you get
one thing, how is the 6th term equal to -36?
d = -3
we have this sequence at first |dw:1439334777260:dw|
|dw:1439334815361:dw|
|dw:1439334837901:dw|
the X,Y,Z,W in the middle represents the second through fifth terms
but how did you know it was 6 terms between?
`Find the four arithmetic means between -21 and -36.` we basically have an arithmetic sequence starting from -21 with four terms after that (unknown for now) and then -36 after that fourth unknown term
there are 4 terms between and not 6
ohh i get it! thank you, btw i got -3
correct, d = -3
now compute -21+d -21+2d -21+3d -21+4d to get those four unknown terms
-24 , -27, -30, -33 all of them are the anwser? sorry i was called out of the room for a second
very good, you got it
thank you! can i tag u in other question i post if i need help? im behind in school with work and all and kinda freaking out lol
sure

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