Broadcast Advertising| Day | New Customers
This Period | Total Customers
Created | Total Customers |
|---|
| 0 | | | N0 | | 1 | xq | xq | N0 + xq | | 2 | xq | 2xq | N0 + 2xq | | 3 | xq | 3xq | N0 + 3xq | | ¼ | ¼ | ¼ | ¼ | | t | xq | xqt | N0 + xqt |
New-Customer Viral| Day | New Customers
This Period | Total Customers
Created | Total Customers |
|---|
| 0 | m | | N0 | | d | mn | mn | N0 + mn | | 2d | mn2 | mn + mn2 | N0 + mn + mn2 | | 3d | mn3 | m(n + n2 + n3) | N0 + m(n + n2 + n3) | | ¼ | ¼ | ¼ | ¼ | | t | mnt/d | mi=1St/d ni | |
For the sum in the last step see, for example, this. This works as long as n is not 1, in which case the sum is just equal to t/d, so that the total customers created is mnt/d.
Continuing Virality| Day | New Customers
This Period | Total Customers
Created | Total Customers |
|---|
| 0 | | | N0 | | d | N0n | N0n | N0 (1 + n) | | 2d | N0 (1 + n) n | N0 (2 + n) n= N0 ((1 + n)2 – 1) | N0 (1 + n)2 | | 3d | N0 (1 + n)2 n | N0 (2 + n + (1 + n)2) n
= N0 ((1 + n)3 – 1) | N0 (1 + n)3 | | ¼ | ¼ | ¼ | ¼ | | t | N0 (1 + n)t/d – 1 n | N0 ((1 + n)t/d – 1) | N0 (1 + n)t/d |
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