Arithmetic and Geometric Sequence and Series

Arithmetic and Geometric Sequence and Series

by Group 1 - Anthony de Padua

​Jose just opened a milk tea shop near the market. On its first day, he got 10 orders. On the second day, he got 18 orders than the first day, News spread easily about the delicious milk tea.

PROBLEM 1:

Multiple Choice

If the trend will continue, how many orders will he get on its 15th day?

• 262 orders on the 15th day.

• 252 orders on the 15th day

• 232 orders on the 15th day.

• 272 orders on the 15th day

​SOLUTION

Multiple Choice

Using the same problem, how many orders will he receive in 15 days?

• 2,400 orders

• 2,004 orders

• 4,200 orders

• 2,040 orders

SOLUTION

​PROBLEM 2

​Legazpi City is at a critical level because of the number of positive cases. On Oct 1, there were 30 cases. On Oct 2, there were 24 and 18 cases on Oct 3.

Multiple Choice

If the cases will continue to decrease, on what day, there will be zero positive cases?

• October 10

• October 9

• October 6

• October 10

​SOLUTION

Multiple Choice

Mayor Rosal asked a group of Grade 10 students to give a report on the total number of cases from October 1 to 6.

• 87 cases

• 90 cases

• 100 cases

• 93 cases

SOLUTION

PROBLEM 3

A Grab driver had 15 orders on his 1st day at work last August. On his 10th day, he got 60 orders.​

Multiple Choice

How many orders will the Grab driver receive on the 15th day?

• 58 orders

• 87 orders

• 86 orders

• 85 orders

​SOLUTION

Multiple Choice

If his commission per order is P 25, find the total amount the Grab driver will receive for working on 15 days.

• Php 18,075

• Php 18,750

• Php 18,570

• Php 18, 057

SOLUTION

PROBLEM 4

There were 10,000 Moderna vaccines that arrived in Daraga last Oct 1. It was instructed by Mayor Perete that they can only accommodate 250 people per day. The start of vaccination is on Oct 6 at the Daraga Multi-purpose hall.​

Multiple Choice

How long will it take to give all those newly arrived vaccines to the Daraguenos?

• 53 days

• 50 days

• 45 days

• 40 days

​SOLUTION

​PROBLEM 5

​Maria is an asymptomatic patient with COVID-19. She went to the mall and infected 300 persons. On the 2nd day, she attended a wedding and has infected 10% more than the first day. She found she had COVID after having chills and shortness of breath.

Multiple Choice

How many people did she infect on the 6th day?

• 834 persons

• 483 persons

• 438 persons

• 348 persons

​SOLUTION

There were 483 persons infected on the 6th day.

Multiple Choice

How many persons did Maria infect in 6 days?

• 2,135 persons

• 2,153 persons

• 2,315 persons

• 2,513 persons

​SOLUTION

​Because of Maria's carelessness, she infected 2,315 persons in 6 days.

​PROBLEM 6

Mr. Celis is an entrepreneur who came back from a vacation. His income decreased as days fo by. On his 1st day back, he earned Php 4,900. By the 4th day, it decreased to Php 612.5​

Multiple Choice

Find out what Mr. Celis earned during the 2nd and 3rd days.

• Php 2,405 and Php 1,250

• Php 2,540 and Php 1,525

• Php 2,045 and Php 1,552

• Php 2,450 and Php 1,225

​SOLUTION

Mr. Celis gained Php 2,450 on the 2nd day and Php 1,225 on the 3rd day.

Multiple Choice

Solve for what Mr. Celis earned during 4 days. 

• Php 9,187.5

• Php 9,871.5

• Php 9,178.5

• Php 9,817

​SOLUTION

​Mr. Celis earned Php 9817.5 for four days.

​PROBLEM 7

​Jay saved Php 20.00 on Sunday and doubled his savings each subsequently. How much did he save on the 10th day? What was his total savings in 10 days?

Multiple Choice

How much did he save on the 10th day?

• Php 10,024

• Php 10,420

• Php 10,240

• Php 10,042

​SOLUTION

​Jay saved Php 10,240 on the 10th day.

Multiple Choice

What was his total saving for 10 days?

• Php 20,604

• Php 20,460

• Php 20,406

• Php, 20,046

​SOLUTION

​Jay saved a total of Php 20,460 in 10 days.