Find the arithmetic means of the sequence -8, __, __, __, __, 7

racmanovcf

racmanovcf

Answered question

2022-10-20

Find the arithmetic means of the sequence -8, __, __, __, __, 7

Answer & Explanation

megagoalai

megagoalai

Beginner2022-10-21Added 22 answers

For problems like these, we have to ask ourselves "How many times do I have to add the common difference, d, to the first term to get the last term?".
To answer, put a "+d" between -8 and the first space, between the first space and the second space, continuing until you add a d between the last space and the 7.
In the end, you should have 5 d's.
We can set up the following equation:
- 8 + 5 d = 7
5 d = 15
d = 3
I'm assuming that by arithmetic means you mean average, or mean, of the whole sequence.
m = - 8 + - 5 + - 2 + 1 + 4 + 7 6
m = - 3 6
m = - 1 2
Hence, the mean of the numbers in the sequence is - 1 2

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