Two students start a club the first week of school. Each member invites three new members the second week of school. Each of the

Question

3 years ago

12

Two students start a club the first week of school. Each member invites three new members the second week of school. Each of the

se new members then invites three additional members the following week. If the pattern of each new member inviting three new members each week continues, how many members will be in the club after five weeks

Mathematics

2 answers:

dybincka [34] · Answer 1 · 2022-02-09T16:01:08+03:00

dybincka [34]3 years ago

6 0

Answer:

C. 242

Step-by-step explanation:

Mekhanik [1.2K] · Answer 2 · 2022-02-09T13:55:56+03:00

I'll just make a manual computation on how 1 member recruits his members until week 5. Then multiply the sum by 2.
old new
1: 1
2: 1 x 3 = 3 ⇒ 1 3 *only new members recruit 3 more
3: 3 x 3 = 9 ⇒ 4 9
4: 9 x 3 = 27⇒ 13 27
5: 27 x 3 = 81 ⇒ 40 81

40 + 81 = 121. Total number of members under 1 founding member.

121 x 2 founding members = 242 total number of members within 5 weeks.