Number Pattern Rules
ISEE Lower Level · Flashcards · Application
ISEE LOWER LEVEL · FLASHCARDS
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QUESTION
Identify the rule for
64
,
32
,
16
,
8
,
4
,
…
64, 32, 16, 8, 4, \dots
64
,
32
,
16
,
8
,
4
,
…
(state
a
n
a_n
a
n
in terms of
n
n
n
).
QUESTION
Identify the rule for
1
,
1
,
2
,
3
,
5
,
8
,
…
1, 1, 2, 3, 5, 8, \dots
1
,
1
,
2
,
3
,
5
,
8
,
…
(state the recursive rule).
QUESTION
What is the rule for
1
,
3
,
6
,
10
,
15
,
…
1, 3, 6, 10, 15, \dots
1
,
3
,
6
,
10
,
15
,
…
(state
a
n
a_n
a
n
in terms of
n
n
n
)?
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ANSWER
a
n
=
n
(
n
+
1
)
2
a_n = \frac{n(n+1)}{2}
a
n
=
2
n
(
n
+
1
)
. Triangular numbers arise from the sum of first
n
n
n
positives, given by this quadratic formula.
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