Identify the unknown
Jomar saved ₱200 on the first week, ₱250 on the second week, and so on. After 10 weeks, he wants to know how much he has saved in total. What is the unknown quantity in this situation?
Sn (Sum of the first n terms)
A student saves ₱100 in the first week and increases his savings by ₱50 each week. How much will he save on the 5th week?
₱300
Jane saves ₱50 in the first week, ₱60 in the second, ₱70 in the third, and so on. How much does she save in total in the first 6 weeks?
₱450
Ana walked 2 km on her first day. Each day, she increased her walking distance by 0.5 km. She wants to know how far she will walk on the 20th day. What is the unknown quantity?
an (nth term or distance on 20th day)
A runner jogs 2 km on day 1 and increases her distance by 0.5 km daily. How far will she jog on the 10th day?
6.5 km
A farmer plants 100 trees in the first row, 95 in the second, 90 in the third, and so on. If there are 10 rows in total, how many trees does he plant overall?
775 trees
The total saving plan is ₱2,400. If the common difference is ₱100 and the first amount saved is ₱200, In this instance, they wanted to know the number of times that a person saved to achieve his/her current saving plan. What is the unknown to be solved?
n (number of terms)
A carpenter builds steps starting with a height of 10 cm and increasing by 2 cm for each step. What is the total height of the first 15 steps?
360 cm
A student practices typing by increasing the number of words typed per day. She types 300 words on the first day and increases by 100 words each day. How many words will she have typed in 7 days?
4,200 words
A gardener planted 10 flowers in the first row, 13 in the second, and so on. After planting for several rows, he realized he had planted a total of 100 flowers. He wants to find out how many rows he has planted. What is the unknown quantity?
n (number of rows or terms)
A bookworm reads 5 pages on the first day and increases his reading by 3 pages daily. How many pages will he have read in total in the first 12 days?
258 pages
A factory produces 500 items on Day 1. Each day, production increases by 25 items. How many items will be produced in the first 20 days?
14,750 items
A student read a total of 420 pages over several days. He read 10 pages on the first day and increased by 5 pages each day. He wants to know how many pages he read on the last day. What is the unknown quantity being asked?
an (last term in the series)
The first row of a theater has 20 seats, and each row after increases by 2 seats. How many seats are there in total in the first 25 rows?
1,100 seats
A basketball player starts a training program, shooting 100 shots on Day 1 and increasing by 20 shots each day. How many shots has he taken in total for 30 days?
11,700 shots