Progressions — Practice Quiz
Telangana Board · Class 10 · Mathematics
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Find the 10th term of the A.P.: 3, 7, 11, 15, ...
Find the sum of first 8 terms of A.P.: 4, 7, 10, 13, ...
If 5th term of an A.P. is 14 and 9th term is 22, find the first term.
Find the 6th term of G.P.: 2, 6, 18, 54, ...
Sample Questions
Which of the following sequences are arithmetic progressions?
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2, 5, 8, 11, ..., 10, 7, 4, 1, ..., 5, 5, 5, 5, ...
A.P. has constant common difference. Option 1: d=3, Option 3: d=-3, Option 5: d=0. Option 2 is squares (not A.P.), Option 4 is G.P. (constant ratio).
Which of the following are geometric progressions?
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1, 3, 9, 27, ..., 2, 4, 8, 16, ..., 1, -2, 4, -8, ...
G.P. has constant ratio. Option 1: r=3, Option 2: r=2, Option 4: r=-2. Options 3 and 5 are A.P. with constant differences.
In an A.P., if a = 5 and d = -3, find the 12th term.
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-28
Using an = a + (n-1)d, we get a12 = 5 + (12-1)×(-3) = 5 + 11×(-3) = 5 - 33 = -28.
How many terms are there in the A.P.: 7, 10, 13, ..., 43?
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13
a = 7, d = 3, last term = 43. Using 43 = 7 + (n-1)×3, we get 36 = (n-1)×3, so n-1 = 12, therefore n = 13.
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