Pattern Rules
ISEE Middle Level Quantitative Reasoning · Flashcards
ISEE MIDDLE LEVEL QUANTITATIVE REASONING · FLASHCARDS
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QUESTION
What is the rule for the sequence
2
,
6
,
18
,
54
,
…
2, 6, 18, 54, \dots
2
,
6
,
18
,
54
,
…
in terms of
n
n
n
?
QUESTION
Identify the next term in the sequence
81
,
27
,
9
,
3
,
1
,
…
81, 27, 9, 3, 1, \dots
81
,
27
,
9
,
3
,
1
,
…
.
QUESTION
What is the rule for the sequence
1
2
,
1
,
2
,
4
,
…
\frac{1}{2}, 1, 2, 4, \dots
2
1
,
1
,
2
,
4
,
…
in terms of
n
n
n
?
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ANSWER
a
n
=
1
2
⋅
2
n
−
1
a_n = \frac{1}{2}\cdot 2^{n-1}
a
n
=
2
1
⋅
2
n
−
1
. The geometric sequence begins with
1
2
\frac{1}{2}
2
1
and has a common ratio of 2, forming the explicit rule.
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