Question

Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9.
Ascending arithmetic sequence
Descending geometric sequence
Descending arithmetic sequence
Ascending geometric sequence

Answer 1

Answer:

X,Xx2,(Xx2)x2,.......

Answer 2

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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