Denny sent 3 e-mails on Sunday, 10 e-mails on Monday, 31 e-mails on Tuesday, 94 e-mails on Wednesday, and 283 e-mails on Thursday. If this pattern continues, the number of e-mails Denny will send on Friday is ____________

The correct answer is: 850

Step by step solution:
number of emails Denny sent on Sunday = 3
number of emails Denny sent on Monday = 10 = 3 x 3 + 1
number of emails Denny sent on Tuesday = 31 = 10 x 3 + 1
number of emails Denny sent on Wednesday = 94 = 31 x 3 + 1
number of emails Denny sent on Thursday = 283 = 94 x 3 + 1
Thus, the rule is as follows:
number of emails sent by Denny on a particular day = (number of emails sent by Denny on the previous day) x 3 + 1
Thus, number of emails sent by Denny on Friday = number of emails sent by Denny on Thursday x 3 + 1 = 283 x 3 + 1 = 850
Thus, Denny sent 850 emails on Friday.
Hence, option(c) is the correct option.