What Inheritance to Get?-------Katherine Wang
1&2) In the sequence
$50,000, $75,000, $100,000, $125,000, ......
1&2) In the sequence
$0.01, $0.02, $0.04, $0.08, .....
Is it Arithmetic or Geometric? Does it have a
common difference or common ratio? What is
the common difference or common ratio?
Based on the above pattern, every term is
increasing from the previous term by a
constant $25,000. Because of this, 25,000
is a common difference, then this is an
arithmetic sequence.
Is it Arithmetic or Geometric? Does it have a
common difference or common ratio? What is
the common difference or common ratio?
The common ratio of 2 consecutive terms
is 2. Therefore it’s a geometric sequence.
Its general term, based on
an=a1rn−1
,
would be
an=(.01)2n−1
.
3) What is the 30th term of the sequence?
Show all work. Use the nth term of a
sequence formula.
FORMULA
an
=
an+
(
n−1
)
d
Where “d” is the common difference
found in the sequence.
50,000+(n-1)25,000
30:
50,000+(29)25,000= 775000
3) What is the 30th term of the sequence?
Show all work. Use the nth term of a
sequence formula.
FORMULA
an=a1rn−1
Where “r” is the common ratio from the
sequence.
A30=
(
.01
)
∗229=5368709
4) What is the 31st term of the sequence?
Show all work. Use the nth term of a
sequence formula.
Same formula as #3
a31
=50000+(30)25000=800000
4) What is the 31st term of the sequence?
Show all work. Use the nth term of a
sequence formula.
Same Geometric general term as in
problem 3
a31=0.01(230)
=10737418.24
