Question

One band’s streaming video concert to benefit a global charity costs $1.00 to view.


The first day, the concert got 2,187 views. The second day, it got about three times as many views. On the third, it got three times as many views as on day two. If the trend continues, how much money will the band have raised in one week?

Answer 1

Let's calculate the views and the corresponding revenue for each day.

1. **Day 1**:
- Views = 2,187
- Revenue = 2,187 views * $1.00 = $2,187

2. **Day 2**:
- Views = 3 times Day 1 = 3 * 2,187 = 6,561
- Revenue = 6,561 views * $1.00 = $6,561

3. **Day 3**:
- Views = 3 times Day 2 = 3 * 6,561 = 19,683
- Revenue = 19,683 views * $1.00 = $19,683

Now we'll calculate the views for the subsequent days, following the established pattern:

4. **Day 4**:
- Views = 3 times Day 3 = 3 * 19,683 = 59,049
- Revenue = $59,049

5. **Day 5**:
- Views = 3 times Day 4 = 3 * 59,049 = 177,147
- Revenue = $177,147

6. **Day 6**:
- Views = 3 times Day 5 = 3 * 177,147 = 531,441
- Revenue = $531,441

7. **Day 7**:
- Views = 3 times Day 6 = 3 * 531,441 = 1,594,323
- Revenue = $1,594,323

Now, let's sum the revenues for the entire week:

- Total Revenue = Revenue on Day 1 + Revenue on Day 2 + Revenue on Day 3 + Revenue on Day 4 + Revenue on Day 5 + Revenue on Day 6 + Revenue on Day 7

Calculating the total:

\[
Total Revenue = 2,187 + 6,561 + 19,683 + 59,049 + 177,147 + 531,441 + 1,594,323
\]

Adding these values together:

- Day 1: $2,187
- Day 2: $6,561 → $2,187 + $6,561 = $8,748
- Day 3: $19,683 → $8,748 + $19,683 = $28,431
- Day 4: $59,049 → $28,431 + $59,049 = $87,480
- Day 5: $177,147 → $87,480 + $177,147 = $264,627
- Day 6: $531,441 → $264,627 + $531,441 = $796,068
- Day 7: $1,594,323 → $796,068 + $1,594,323 = $2,390,391

Thus, the band will have raised **$2,390,391** in one week.