Question

You receive an email asking you to forward it to four other people to ensure prosperity. Assuming the chain isn't broken, how many emails will have been received and sent after 8 email generations, including yours?

Answer 1

well if it asks you to send to 4 people and there are 8 generations which includes yours that mean

1 sent to 4 - 4 recived

4 send to 4 each = 16 recived + the 4 before = 20 (generation 2)

16 send to 4 = 64 + 20 = 84 (generation 3)

64 send to 4 = 256 + 84= 320 (g4)

256 send to 4 = 1024 + 320 = 1344 (g5)

1344 s t 4 = 5376 + 1344= 6730 (g6)

so on and so forth till generation 8

Answer 2

Total number of emails send after 8 email generation is given as

4+16+64+256+1024+4096+16384+65536=87380

Number of email received after 8 email generation is given as

1+4+16+64+256+1024+4096+16384=21845

Explanation:

In this question it is given that First email is send to four peoples

Therefore in generation-1

Number of email received=1

Number of email sent by first person=
`4`

generation-2

Number of email send by 4 persons if each send 4 email
`=4*4=16`

generation-3

Number of email send by 16 persons if each send 4 email
`=16*4=64`

generation-4

Number of email send by 64 persons if each send 4 email
`=64*4=256`

generation-5

Number of email send by 256 persons if each send 4 email=
`256*4=1024`

generation-6

Number of email send by 1024 persons if each send 4 email
`=1024*4=4096`

generation-7

Number of email send by 4096 persons if each send 4 email
`=4096*4=16384`

Generation-8

Number of email send by 16384 persons if each send 4 email
`=16384*4=65536`

therefore, Total number of emails send after 8 email generation is given as

`4+16+64+256+1024+4096+16384+65536=87380`

Number of email received after 8 email generation is given as

`1+4+16+64+256+1024+4096+16384=21845`