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OpenStudy (anonymous):
find the four arithmetic means between -21 and -36
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OpenStudy (solomonzelman):
there are 4 arithmetic means between -21 and -36, so we can say that \(\large\color{blue}{ a_{n}=-21 }\) and \(\large\color{blue}{ a_{n+5}=-36 }\)
OpenStudy (solomonzelman):
So, \(\large\color{blue}{ a_{n+5}-a_{n~}=5d }\)
OpenStudy (solomonzelman):
-36-(-21)=5d → 5d =-15 → d=-3
OpenStudy (solomonzelman):
So if d=-3 and the first term is -21, can you will in the missing means ?
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