Gabriel has a choice between two salary schemes for working at a restaurant during his Christmas break: a fixed salary of PHP 100 per day for 12 days or a doubling salary starting from PHP 1 on the first day. The document also involves mathematical concepts, including finding the sum of a geometric series and determining savings over several weeks with doubling amounts. The main query revolves around which salary scheme offers a better financial outcome.

1. FINITE GEOMETRIC SERIES

4. GABRIEL WANTS TO SPEND HIS 12-DAY
CHRISTMAS BREAK PRODUCTIVELY BY WORKING
IN “ALAMAT RESTAURANT” LOCATED AT PICNIC
GROVE. THE MANAGER OFFERS 2 SALARY
SCHEME:

5. PHP100 PER DAY FOR 12 DAYS

6. PHP1 ON THE 1ST DAY,PHP 2 ON
THE 2ND DAY, PHP4 ON THE 3RD
DAY AND DOUBLE THE SALARY
EACH DAY UNTIL THE 12TH DAY.

7. IF YOU WERE GABRIEL,
WHICH SALARY SCHEME
ARE YOU GOING TO
ACCEPT? WHY?

8. PHP100 PER DAY FOR 12 DAYS

9. 1ST DAY,PHP 2 ON THE 2ND DAY, PHP4 ON THE 3RD
DAY AND DOUBLE THE SALARY EACH DAY UNTIL THE
12TH DAY

11. FIND THE SUM OF THE
FIRST FIVE TERMS OF THE
GEOMETRIC SERIES 7,14,
28

14. JOEY SAVES AN AMOUNT IN HIS
BAMBOO BANK EACH WEEK. TO MAKE IT
FUN, HE DOUBLES WHATEVER AMOUNT
IS INSIDE THE BANK DURING THE NEXT
WEEK. ON THE FIRST WEEK, HE SAVES 1
PESO. ON THE 10TH WEEK, HOW MUCH
WILL BE IN THE BAMBOO BANK IN ALL?

16. ASSESMENT