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27 votes
Find the 14th term of the following geometric sequence 1,2,4,8,…

User Starf
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2 Answers

15 votes
15 votes

Answer:

8192

Explanation:

The rate is x2. Multiplying to the 14th term gets to 8192.

hope this helps!

User Lavaturtle
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3.4k points
17 votes
17 votes

Answer:

The 14th term is 8,192

Explanation:

Well we can see that it is multiplying every next term by 2.

2nd term : 1*2 = 2

3rd term : 2*2 = 4

4th term : 4*2 = 8

So, we can simply carry out this process.

5th term : 8*2 = 16

6th term : 16*2 = 32

7th term : 32*2 = 64

8th term : 64*2 = 128

9th term : 128*2 = 256

10th term : 256*2 = 512

11th term : 512*2 = 1024

12th term : 1024*2 = 2048

13th term : 2048*2 = 4096

14th term : 4096*2 = 8192

The 14th term is 8,192

User Ryan Skene
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3.3k points