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Class 10 Arithmetic Progressions worksheet
CBSE Mathematics. nth term, sum of n terms; savings, salary and seating problems. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
The common difference of the AP −13, −12, −11, −10, … is:
- −13
- −1
- 2
- 1
Answer
(d) 1
−12 − (−13) = 1
- 2.
The 36th term of the AP 21, 30, 39, … is:
- 336
- 345
- 324
- 327
Answer
(a) 336
a + (n − 1)d = 21 + 35 × 9 = 336
- 3.
Which term of the AP −3, −1, 1, … is 89?
- 48th
- 46th
- 45th
- 47th
Answer
(d) 47th
−3 + (n − 1) × 2 = 89, so n − 1 = 46
Section B · short answer
- 4.
The 7th term of an AP is 32 and the 15th term is 88. Find the first term and the common difference.
Answer
a = −10, d = 7
8d = 56, so d = 7; a = 32 − 6 × 7
- 5.
Find the 4th term from the end of the AP 12, 21, 30, …, 426.
Answer
399
l − (n − 1)d = 426 − 3 × 9 = 399
Section C · long answer
- 6.
Vikram saves Rs 150 in the first month and Rs 50 more each month than the month before. How much will Vikram have saved in 19 months?
Answer
Rs 11,400
19/2 × (2 × 150 + 18 × 50) = 11,400
Fresh sheets for your child
In the app, every Arithmetic Progressions sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.