Question

On the first day of a song release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day

Answer 1

Answer:

  35.4 million

Step-by-step explanation:

We assume the description "increases by 10% per day" means the base of the percentage is the previous day's number of streams. Then the sequence of streams on consecutive days is a geometric sequence with a first term of 20 million and a common ratio of (1 +10%) = 1.10.

__

streams on day n

The n-th term of a geometric sequence is ...

  an = a1×r^(n-1) . . . . . where a1 is the first term, and r is the common ratio

The sequence of streams on consecutive days is then ...

  an = 20×1.10^(n-1) . . . . millions of streams on day n

seventh day

For n = 7, the number of streams is ...

  a7 = 20×1.10^(7 -1) ≈ 35.4 . . . . million streams

There will be about 35.4 million streams on the seventh day.

Answer 2

There will be 32 million streams on the 7th day.

What is percentage?

A percentage is the rate or amount in each hundred of a quantity.

Analysis:

If there are 20 million streams on the first day and 10% increase daily.

Then 10% of 20 million is 2 million.

so there will be 2 million stream increase daily and in 6 days there will be 2 x 6 = 12 million streams

So on the 7th day we will have 20+12 = 32 million streams.

Learn more about percentage: brainly.com/question/24304697

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