Spam e-mail containing a virus is sent to 1000 e-mail addresses. After 1 second, a recipient machine broadcasts 10 new spam e-mails containing the same virus, after which the virus disables itself on that machine.(1) Write a recursive definition (i. e. recurrence relation) to show how many spam emails will be sent out after n seconds.(2) Solve the recurrence relation.(3) How many e-mails are sent at the end of 20 seconds