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On Sunday, Steve, Jo, Lucy, Max, and Alex decide to throw aparty. On Monday, they each invite 3 friends. On Tuesday, thefriends that were invited on Monday each invite 3 more people.On Wednesday, the people who were invited on Tuesday eachinvite 3 more people.If this continues, how many people will be invited on Saturday toattend the party?

Sagot :

Step 1. The party will be thrown by Steve, Jo, Lucy, Max, and Alex --> 5 people.

On Monday, each invites 3 friends. So for, the number of people invited is:

[tex]5\times3=15[/tex]

Step 2. On Tuesday, the friends that were invited (15) invited 3 more people each. The number of people invited now is:

[tex]15\times3=45[/tex]

Step 3. On Wednesday, the 45 people invited on Tuesday, each invite 3 more people. The number of people invited again multiplies by 3:

[tex]45\times3=135[/tex]

Step 4. The trend continues so for Thursday, the number of people invited on the previous day multiplies by 3:

[tex]135\times3=405[/tex]

Step 5. On Friday the number of people invited is:

[tex]405\times3=1,215[/tex]

Step 6. Finally, on Saturday, the day of the party, the number of people invited is multiplied one last time by 3:

[tex]1,215\times3=3,645[/tex]

Answer:

3,645