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2 votes
24, 12, 6
Find the 10th term for this geometric sequence

2 Answers

4 votes

Answer:

0.046875 aka 3/64

Explanation:

In a geometric sequence, each term will be related to the previous term by undergoing either multiplication or division.

In this case, each case is exactly 1/2 of the previous term. 12 is half of 24, and 6 is half of 12. By continuing this sequence, we get

1: 24

2: 12 (24 * 1/2)

3: 6 (12 * 1/2)

4: 3 (6 * 1/2)

5: 3/2 (3 * 1/2)

6: 3/4 (3/2 * 1/2)

7. 3/8 (3/4 * 1/2)

8. 3/16 (3/8 * 1/2)

9. 3/32 (3/16 * 1/2)

10. 3/64 (3/32 * 1/2)

User Ehabd
by
3.1k points
6 votes

Answer:

0.0234375

Explanation:

You just keep dividing by 2

If I'm wrong, sorry

User Zinovyev
by
3.2k points