Question

What is the next term of the geometric sequence?
72,36,18,

Answer 1

Answer:

The next number is 9.

Step-by-step explanation:

This is the answer.

Answer 2

The next term of the geometric sequence is 9.

Given:

a geometric sequence: 72, 36, 18

To Find:

we need to find the next term of the given series

Solution:

we know that the ratio of any two consecutive terms of a geometric series is equal

here, the ratio of the second to first term = 36/72 = 1/2

ratio of the third to second term = 18/36 = 1/2

so, the common ratio of the GP = 1/2

now, let the next term be x

⇒ x/18 = 1/2

x = 18 / 2

x = 9

Thus, the next term of the geometric sequence comes out to be 9.

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