Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9.
Ascending arithmetic sequence
Descending geometric sequence
Descending arithmetic sequence
Ascending geometric sequence
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Answer:
X,Xx2,(Xx2)x2,.......
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The given sequence is descending geometric sequence
Given:
The series = 144, 72, 36, 18, 9.
To find:
The type of sequence
Solution:
Each expression in this sequence is obtained by multiplying the one before it by a constant.
The given series is a geometric sequence -
144, 72, 36, 18, 9.
The sequence is in decreasing order.
While the first term is 144, the last term is 9.
If considered in ascending order ie, 9, 18, 36, 72, 144
There is a factor of 2 between each number in this series.
The next term is discovered by multiplying the preceding term by two, with the exception of the first term.
Answer: The given sequence is descending geometric sequence
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