16,4, 1, ...
Find the 6th term.

1/64

Step-by-step explanation:

Notice that the common ratio is 1/4 since each term is being multiplied by 1/4 to get its successor's result.

Therefore, the 4th term would be 1 * 1/4 = 1/4, the 5th term would be 1/4 * 1/4 = 1/16, and the 6th term would be 1/16 * 1/4 = 1/64.

So, the 6th term of the geometric sequence is 1/64

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step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.