Pattern Rules From Sequences
SSAT Middle Level · Flashcards · Recall
SSAT MIDDLE LEVEL · FLASHCARDS
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QUESTION
What is the explicit rule for the geometric sequence with
a
1
=
5
a_1 = 5
a
1
=
5
and common ratio
r
=
2
r = 2
r
=
2
?
QUESTION
What is the explicit rule for the arithmetic sequence with
a
1
=
7
a_1 = 7
a
1
=
7
and common difference
d
=
3
d = 3
d
=
3
?
QUESTION
What is the explicit rule for the geometric sequence with
a
1
=
5
a_1 = 5
a
1
=
5
and common ratio
r
=
2
r = 2
r
=
2
?
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ANSWER
a
n
=
5
⋅
2
n
−
1
a_n = 5 \cdot 2^{n - 1}
a
n
=
5
⋅
2
n
−
1
. This expresses the
n
n
n
th term of a geometric sequence using the initial term and common ratio.
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