Question

F.IF.3 Jim is starting a new company and decides to send a promotional e-mail offering a free sample of his product to anyone who receives the e-mail. His plan is to send the promotional e-mail to 128 contacts with a request to forward the e-mail to 3 different people. Suppose that Jim sends the initial e-mail to 128 contacts on day 1. On day 2, each recipient sends the e-mail to 3 different people. On day 2, each of the new recipients sends the e-mail to 3 different people. If the process continues, how many emails will be sent on day 7? * 1 point A. 93,312 B. 279,936 C. 2,304 D. 49,152

Answer 1

Using a geometric sequence, the number of emails sent on day 7 is given as follows:

A. 93,312.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

This situation can be modeled by a geometric sequence with first term and common ratio given as follows:

$a_1 = 128, q = 3$

Hence the number of people that receive the email on day n is:

$a_n = 128(3)^{n-1}$

On day 7, the amount is:

$a_7 = 128(3)^{7-1} = 93,312$

Hence option A is correct.

More can be learned about geometric sequences at brainly.com/question/11847927

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