Answer:
see explanation
Step-by-step explanation:
Consider 5 and - 9 to be terms in an arithmetic sequence and we require to find the 6 terms between them.
The n th term of an arithmetic sequence is
= a + (n - 1)d ← d is required
Here a = 5 and = - 9, hence
5 + 7d = - 9 ( subtract 5 from both terms )
7d = - 14 ( divide both sides by 7 )
d = - 2
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The terms in the sequence are
5, 5 - 2, 5 - 4, 5 - 6, 5 - 8, 5 - 10, 5 - 12, - 9 , that is
5, 3, 1, - 1, - 3, - 5, - 7, -9
With the 6 arithmetic means being
3, 1, - 1, - 3, - 5, - 7