This document discusses different strategies for formulating the rule to find the nth term of a sequence, including guessing and checking, working backwards, and analyzing patterns in tables. It provides examples of using these strategies to find the rule for various sequences and determine missing terms. The document also includes word problems involving finding amounts or totals in sequences over time.

1. FORMULATING THE RULE IN FINDING THE
NTH TERM
USING DIFFERENT STRATEGIES
Week 4, Day 2
OBJECTIVES:
A. FORMULATE THE RULE IN FINDING THE NTH TERM OF A
SEQUENCE USING GUESSING AND CHECKING, AND
WORKING BACKWARDS
B. WRITE THE NEXT TERMS IN A GIVEN SEQUENCE.
C. SHOW PATIENCE AND PERSEVERANCE IN FORMULATING A
RULE.

2. 1. Drill (Group Game)
Draw the next figure:
2. How do you look for a pattern in a sequence?

3. Let’s see how witty you are by guessing the
next letter in the sequence below
and describing the connections/rule of the
sequence?
a. S, M, T, W,____, ____, ____ Rule:
b. J, F, M, A, M, ____, ____, ____
Rule:
c. M, V, M, E, ___, ____, ____
Rule:

4. Every year, Mang Ramon’s kinalabaw
mango tree produces 2 more kilograms of
mango than the previous year. If 25
kilograms were harvested in year 2012, how
many kilos will it produce in 2017? What is
the total number of kilograms of mangoes
the tree produced from 2012 to 2017?
What is asked?
What are the given facts?
What strategy can you use to solve the problem?

5. Construct a table showing the yearly harvest of
mangoes
Year
Number of kilograms of mangoes
2012
2013
2014
2015
2016
2017

6. Answer the following.
a. How did you perform the activity?
b. Did every member of the group participate?
c. How did you find the answer to the problem? Was it easy?
d. Did the table help you get the answer more easily?
e. How can you check if your answer is right?
f. What are the other ways of finding the answer to this kind of
problem?

7. Using guess & check strategy/working
backward strategy formulate the rule in
finding the nth term of the given sequence:
a. 2, 5, 8, 11____, ____, ____
Rule:_______________
b. 1/5, 3/5, 5/5, 7/5,____, ____, ____
Rule: _______________
c. 1/12, 4/12, 9/12, 16/12,____,____
Rule: _______________
d. 6, 10, 14, 18, ___, ___, ___
Rule: _______________
e. 3,5,7,9,___,___,___
Rule: _______________

8. Analyse each sequence in each and
complete the missing value in each
table.
Nth tem
1 1
2
3 9
4

9. Nth term
1 2 3 4 5 6 7 8 9
1 2 4 16 32 512

10. How do we find the nth term of a
sequence?
To formulate the nth term of a
sequence , we can also use the
following strategies:
(a)Guessing and checking ;
(b) working backward

11. Answer each question
completely.
Justine saved ₱100.00 in January,
₱200.00 in February, ₱300.00 in
March and so on until December.
In which month did hesave
₱1000.00? How much did Justine
save for the entire year?

12. Identify the sequence in Column
B that follows the rule in Column
A.
A B
____1. 3n a. -2, -4, -6
____2. n3 b. ½, 1/3, ¼
____3. (n + 1) c. 2/3, ¾, 4/5
(n + 2) d. 2, 5, 8, 11
____4. 3n-1 e. 1, 8, 27
____5. __1__ f. 3, 6, 9, 12
n + 1

13. Answer the following:
1. Complete the pattern: 8, 13, 21, ____, ____, 39,____, 52.
2. What are the missing terms in the sequence 11, ___,
___,44,____, 66?
3. What is the sum of the first 10 odd numbers?