"To be Continued..."
A student jogs 4 minutes on Day 1, 8 minutes on Day 2, 12 minutes on Day 3, and 16 minutes on Day 4.
How many minutes will the student jog on Day 5?
Answer: 20 minutes
The jogging time increases by 4 minutes each day.
A student reads 3 pages on Monday and 9 pages on Wednesday, increasing the number of pages read daily at a steady rate.
How many pages were read on Tuesday?
Answer: 6 pages
The pattern increases by 3 pages each day.
A student earns ₱1, ₱2, ₱3, ₱4, and ₱5 from daily chores.
How much money is earned in total?
Answer: ₱15
Add all the daily earnings.
A student notices the locker numbers: 2, 4, 8, 16, 18.
Which locker number does not fit the pattern?
Answer: 18
All others are powers of 2.
Find the next term in the sequence: 1, 4, 16, __.
Answer: 64
A student stacks square tiles to form larger and larger square designs.
The number of tiles used is 1, 4, 9, 16.
How many tiles are needed for the next design?
Answer: 25 tiles
"These are perfect squares"
A student doubles their daily savings:
₱5, ___, ₱20.
How much was saved on the second day?
Answer: ₱10
Explanation: Each amount is twice the previous one.
The number of push-ups a student does daily is:
7, 11, 15, 19.
What is the daily increase in push-ups?
Answer: 4 push-ups
Explanation: Each day increases by 4.
The number of tiles in a growing design is:
1, 4, 9, 16
What pattern rule explains this sequence?
Answer: Square numbers
Explanation: The terms are 12, 22, 32, 42, .
What is the 4th term of the sequence that starts with 100 and has a common ratio of 1/2?
Answer: 12.5
A video game awards points per level as follows:
2, 6, 12, 20.
How many points will be awarded in the next level?
Answer: 30 points
The increase grows by 2 each time: +4, +6, +8, +10.
300 points
The number of problems solved during practice sessions follows this pattern:
2, 6, ___, 18.
How many problems were solved in the third session?
Answer: 12 problems
The pattern increases by 4.
A student saves money for school supplies. On the first day, the student saves ₱20, and each day after that the student saves ₱5 more than the previous day.
How much money will the student have saved in total after 10 days?
Answer: ₱425
Explanation & Solution:
Use the sum of an arithmetic series: Sn = n/2 (2a1 + (n - 1)d)
Where:
n = 10
a1 = 20
d = 5
S10 = 10/2 (2(20) + (10 - 1)5) = 425
A game score increases as follows:
3, 7, 15, 31
Describe the pattern rule used.
Answer: Multiply by 2, then add 1
The 2nd term of a geometric sequence is 20. If the common ratio is 4, what was the 1st term?
Answer: 5
A student records the total number of minutes spent reviewing lessons over several days:
105, 106, 109, 114, 121
How many total minutes will be recorded on the next day?
Answer: 130 minutes
Explanation & Solution:
Find the differences:
106 − 105 = 1
109 − 106 = 3
114 − 109 = 5
121 − 114 = 7
The differences are consecutive odd numbers.
Next difference = 9 and 121 + 9 = 130
A student arranges chairs in square formations for an event.
The number of chairs used is:
121, 144, ___, 196, 225
How many chairs were used in the missing arrangement?
Answer: 169 chairs
Explanation & Solution:
These numbers are perfect squares: 112 = 121, 122 = 144, 132 = 169, 142 = 196, 152 = 225
What will be the sum of the first 100 positive integers?
Answer: 5050
Explanation & Solution:
Arithmetic series:
Sn = (n(n +1))/2
S100 = (100(100 +1))/2 = 5050
A student tracks the total number of target steps that he needs to accomplish provided by a fitness app at the end of each week:
1,300 steps, 16,900 steps, 219, 700 steps, ...
What pattern rule is used by the app to generate this sequence?
Answer:
Multiply by 13 each time.
Explanation:
Check the ratio between consecutive terms:
16,900/1300 = 13
219,700/16,900 = 13
Since each term is obtained by multiplying the previous term by the same constant (13), the sequence follows a geometric pattern with a common ratio of 13.
A culture of bacteria doubles every hour. If there are 50 bacteria at 1:00 PM, how many bacteria will there be at 5:00 PM?
Answer: 800
A school auditorium increases the number of seats per row following this pattern:
120, 124, 130, 138
How many seats will be in the next row?
Answer: 148 seats
Find the differences:
+4, +6, +8
The increase goes up by 2 each time.
Next increase = +10 and 138 + 10 = 148
A school records the number of books borrowed per month from the library:
1,245 , 1,305 , ___ , 1,485 , 1,605
What was the number of books borrowed during the missing month?
Answer: 1,385
Explanation & Solution:
Find the differences between known terms:
1,305 − 1,245 = 60
1,485 − 1,385 = 100
1,605 − 1,485 = 120
To keep a consistent increasing pattern, the differences increase by 20: +60, +80, +100, +120,
So the missing term is: 1305 + 80 = 1385
A student saves ₱120 in the first week and increases savings by ₱15 each week.
How much money will the student save in total after 20 weeks?
Answer: ₱5,250
Explanation & Solution:
Use the sum of an arithmetic series: Sn = n/2 (2a1 + (n - 1)d)
Where:
n = 20
a1 = 120
d = 15
S20 = 20/2 (2(120) + (20 - 1)15) = 5250
A math club member noticed a pattern in the record of scores earned during their math challenge activities, the scores are:
89, 144, 233, 377, 610
What do tou think is the pattern he noticed?
Answer: The next number is the sum of the two preceding number, also known as the Fibonacci sequence.
A piece of paper is 0.1 mm thick. If you could fold it in half perfectly 10 times, how thick would the folded stack be in millimeters?
Answer: 102.4 mm