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1. FORMULATING THE RULE
IN FINDING THE NEXT
TERM IN A SEQUENCE
INVOLVING TWO
OPERATIONS
MATHEMATICS
2. Alex bought playing cards. He noticed
that 1 star on the first card, 3 stars on
the second page, 7 stars on the third
page, and 15 stars on the fourth page.
How many stars are there on the fifth
card?
3.
4. Upon observing the cards, the
pattern shows “times 2 plus 1” to
predict the number of stars on the
next card.
5. Miguel saves part of his allowance in his piggy bank
everyday.
On the first day, he saved 1.00. On the 2nd day, he
saved 2.00. On the 3rd day, he saved 5.00. On the
4th day, he saved 14.00. If this pattern continues, how
much will Miguel save on the 6th day?
Explain the pattern and the rule 1,2,5,14, ,
Rule is x3-1
6. Find the rule in the sequence and solve for the missing term
GROUP 1:
1.) 1, 3,6,7, ,
Rule
2.) 2,6,14,30 ,
Rule
GROUP 2:
1) 2,7,22,67,, ,
Rule
2) 3,15,51, , ,
Rule
GROUP 3:
1) 1,5,21,85, , ,
Rule
2) 2,16,72,296, ,
8. How do you formulate the rule in finding the next term
in a sequence with two operations?
A sequence is a list of numbers or objects in a defined or
logical order. Set of numbers in a sequence is determined
through a rule which applies. The rule which was applied may
be a one fundamental operation or maybe a combination of
two fundamental operations such as
multiplication and addition.
9. Choose from the following rules in the box which
apply to the given sequence.
x2 +1 +5 x2
x3 -4
x3 -3 +10 -2
x2 -5
1. 2,11,23,47,95,…
2. 2,3,6,15,42,…
3. 5,20,50,110,230
4. 10,15,25,45,,156
5. 3,5,11,29,83,245,…