The tenth, eleventh, and twelfth terms of a sequence are shown in the table below:
Term number
10
11
12
Term
-34
-38
-42
Which of the following shows the first five terms of the sequence?
-2, 2, 6, 10, 14
2, -2, -6, -10, -14
-2, -6, -10, -14, -18
2, 6, 10, 14, 18
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OpenStudy (welshfella):
note that to get from one term to the next you subtract 4
OpenStudy (help_people):
?
OpenStudy (welshfella):
-34 -4 = -38
-38-4 = -42
OpenStudy (welshfella):
this is an arithmetic sequence where the common difference is -4
OpenStudy (help_people):
ok
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OpenStudy (welshfella):
so what do you think the 9th term is ?
you subtract 4 to get the 10th
so we can write -34 + 4 = a9
where a9 is the 9th term
OpenStudy (help_people):
-30
OpenStudy (welshfella):
right now you can keep on adding 4 until you get to the 5the term and see if it matches one of the options
OpenStudy (help_people):
a
OpenStudy (help_people):
is the answer
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OpenStudy (welshfella):
no- you are guessing
8th term = -30 + 4 = -26
7th term = 26 + 4 = -22
- can you continue?