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13 votes
13 votes
PLEASE HELP ASAP!!! Determine if the sequence is arithmetic. If it is, what is the common difference?

36, 33, 30, 27, ...


Thank you!

User KBurchfiel
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2.4k points

2 Answers

17 votes
17 votes

Answer:

Yes, -3

Explanation:

An arithmetic sequence is when the numbers in the sequence are subtracted or added by the same value everytime to get the next number. (NOT multiplied or divided, if it's that then it's a geometric sequence)

from 36 to 33, we can see the change is -3
from 33 to 30, it's also -3
from 30 to 37, it's also -3

The common difference is the difference between the two consecutive terms in the sequence, which is -3

Since it's subtracting or adding by the same value everytime to obtain the next value, this sequence is an arithmetic sequence, and the common difference is -3

User Abey M
by
3.2k points
19 votes
19 votes

Answer:

Yes it is

Explanation:

Every new number is 3 less than the last number

n-3

User Eelco Luurtsema
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2.8k points