Name that Sequence
Is the following sequence Arithmetic, Geometric or Neither? 12, 14, 16, 18, 20, .....
Arithmetic
Given a1=7, and d=20, find a15
287
Given a1=1, and r=3, find a7
729
Find the missing term in the following Arithmetic sequence. 3, ___ ,17
10
An auditorium has 15 rows of seats. The first row has 20 seats, and each subsequent row has 2 more seats than the row in front of it. How many seats are there in the last row?
There are 48 seats in the last row of the auditorium.
Is the following sequence Arithmetic, Geometric or Neither? 3, 8, 13, 18, 22, .....
Arithmetic
What is the value of the 1st term when the 23rd term is 36 and the common difference is 2?
-8
What is the value of the fifth term when the first term is 2 and the common ratio is 4?
512
Find the missing term in the following Geometric sequence. 2, ____, 128
16
Cans are stacked in a grocery store display in a triangular shape. The top row has 1 can, the row below it has 3 cans, the next row has 5 cans, and so on. If there are 8 rows in total, how many cans are there in the entire stack?
There are a total of 64 cans in the entire stack.
Is the following sequence Arithmetic, Geometric or Neither? 4, 11, 17, 24, 34, ....
Neither
What is the value of the 60th term when the 1st term is 5 and the common difference is -5?
-290
What is the value of the 10th term when the 1st term is 1 and the common ratio is 3?
19,683
Find the missing term in the following Arithmetic sequence. -13, ___ ,-27
-20
A carpenter is building a ladder. The bottom rung is 80 cm long, and the top rung is 40 cm long. If there are 11 rungs in total and the length of each rung decreases uniformly from bottom to top, what is the total length of wood needed for all the rungs?
The total length of wood needed for all the rungs is 660 cm (or 6.6 meters).
Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 375, 75, 15, 3, 3/5, ........
Geometric, r=1/5 or 0.2
A small town is growing steadily. In 2020, its population was 12,500. Every year, the population increases by 350 residents. If this trend continues, what will be the town's population in the year 2035
The town's population in the year 2035 will be 17,750 residents.
A generous friend offers to help you save money. They say they will give you Php. 20 for your first week of saving, and then double the amount they give you each subsequent week. How much money will your friend give you in the 4th week?
Your friend will give you Php. 160 in the 4th week.
Find the missing terms in the following Arithmetic sequence. 10, ____, ____ , _____, 26
14, 18, 22
A popular Filipina vlogger from Davao posts a video about her community. In the first hour, the video gets 500 shares. If the number of shares quadruples every hour for the next 3 hours, how many shares will the video have in total after 4 hours (including the first hour's shares)?
The video will have a total of 42,500 shares after 4 hours.
Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 506, 403, 300, 197, 94, .....
Arithmetic, d=-103
A mountain climber begins an expedition at an altitude of 1,200 meters. Each day, they plan to ascend an additional 350 meters. If they maintain this consistent pace, what altitude will the climber reach at the end of their 7th day of climbing?
At the end of their 7th day of climbing, the climber will reach an altitude of 3,650 meters.
A student is practicing their typing speed. On Monday, they can type 40 words per minute. If they manage to increase their speed by 10% each day, what will their typing speed be on Thursday?
On Thursday, the student's typing speed will be approximately 53.24 words per minute.
Find the missing terms in the following geometric sequence. 4, ___ , _____, _____, 324
12, 36, 108
A small bakery in Pampanga introduced a new Ube Pandesal. On the first day, they sold 15 pieces. Due to its immediate popularity, the number of Ube Pandesal sold doubled each day for the next 3 days. What is the total number of Ube Pandesal sold during these first 4 days?
A total of 225 Ube Pandesal were sold during the first 4 days.