Arithmetic Progression
Maharashtra Board · Class 10 · Mathematics
Practice quiz for Arithmetic Progression — Maharashtra Board Class 10 Mathematics. MCQs and questions with answers to test your preparation.
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Quick Quiz: Arithmetic Progression
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Find the 10th term of the A.P. 7, 12, 17, 22, ...
In the A.P. 4, 7, 10, 13, ..., what is the common difference?
Find the sum of first 15 terms of A.P. 2, 5, 8, 11, ...
If the 5th term of an A.P. is 14 and 9th term is 22, find the first term.
Sample Questions
Which of the following sequences are arithmetic progressions?
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3, 6, 9, 12, ..., 5, 5, 5, 5, ..., -2, -5, -8, -11, ...
A.P. has constant common difference. (1) d=3, (2) d=0, (4) d=-3 are A.P. (3) is squares (not constant difference), (5) is G.P. (ratio=3).
Which statements about arithmetic progressions are correct?
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Common difference can be negative, Common difference can be zero, The middle term is average of first and last terms
d can be negative (decreasing A.P.), zero (constant A.P.), or positive. Terms can be negative. Middle term = (first + last)/2. Sum may decrease if terms are negative.
The sum of first n natural numbers is given by the formula n(n+1)/2. Find the sum of first 20 natural numbers.
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210
Natural numbers 1, 2, 3, ..., 20 form A.P. with a = 1, d = 1, n = 20. Using formula: Sum = 20(20+1)/2 = 20×21/2 = 210.
In an A.P., if first term is 8 and common difference is -3, find the 6th term.
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-7
a = 8, d = -3, n = 6. Using tn = a + (n-1)d, t6 = 8 + (6-1)(-3) = 8 + 5(-3) = 8 - 15 = -7.
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