On the first day of a marketing campaign, a team sent a total of 14 emails to potential clients. Their goal is to increase the number of emails sent per day by 15 each day. If the team met but did not exceed this goal, how many emails, in total, did it send during the 30 day marketing campaign?

Question

Jaylen Donaldson

Mathematics

3 November, 15:59

On the first day of a marketing campaign, a team sent a total of 14 emails to potential clients. Their goal is to increase the number of emails sent per day by 15 each day. If the team met but did not exceed this goal, how many emails, in total, did it send during the 30 day marketing campaign?

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Marcellus · Answer 1

Answer:it sent 6945 during the 30 day marketing campaign

Step-by-step explanation:

Their goal is to increase the number of emails sent per day by 15 each day. The rate at which they increased the number of mails sent is in arithmetic progression.

The formula for determining sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1) d]

Where

a represents the first term of the sequence.

n represents the number of terms.

d = represents the common difference.

From the information given

a = 14

d = 15

n = 30

We want to find the sum of 30 terms, S30. It becomes

S30 = 30/2[2 * 14 + (30 - 1) 15]

S30 = 15[28 + 435]

S30 = 6945