5
Mathematics
Arithmetic Progressions
654+ practice questions available
Sample Practice Questions
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1
Easy
The list of numbers −10, −6, −2, 2, ... forms an AP with common difference:
A−4
B4
C−6
D6
2
Easy
A phone is bought in 5 monthly instalments of ₹2,000, ₹2,500, ₹3,000, ₹3,500, and ₹4,000. The total cost is:
A₹15,000
B₹14,500
C₹15,500
D₹14,000
3
Hard
If the sum of first n terms of an AP is 3n² + 2n, then the 12th term is:
A71
B69
C73
D67
4
Hard
Assertion (A): If a, b, c, d are in AP, then a + d = b + c. Reason (R): In an AP, the sum of terms equidistant from the ends is constant and equals the sum of the first and last terms.
ABoth A and R are true and R is the correct explanation of A.
BBoth A and R are true but R is not the correct explanation of A.
CA is true but R is false.
DA is false but R is true.
5
Easy
The \(n\)th term of an AP whose sum of first \(n\) terms is \(S_n\) is given by:
Aa_n = S_n - S_{n-1}
Ba_n = S_n + S_{n-1}
Ca_n = S_{n+1} - S_n
Da_n = S_n / n
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