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This mock test of Important Questions: Arithmetic Progressions for Class 10 helps you for every Class 10 entrance exam.
This contains 10 Multiple Choice Questions for Class 10 Important Questions: Arithmetic Progressions (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The first term and the common difference for the are respectively

Solution:

QUESTION: 2

If p, q, r are in AP, then p^{3} + r^{3} - 8q^{3} is equal to

Solution:

∵ p, q, r are in AP.

∴ 2 q = p + r

⇒ p + r - 2 q = 0

QUESTION: 3

The next term of the

Solution:

The given AP is √8, √18, √32,......... On simplifying the terms, we get:

QUESTION: 4

In an AP, if a = 3.5, d = 0, n = 101, then a_{n} will be

Solution:

a_{101} = 3.5 + 0 (100) = 3.5

QUESTION: 5

The famous mathematician associated with finding the sum of the first 100 natural numbers is

Solution:

Johann Friedrich Gauss, he was a German mathematician who find the sum of the first 100 natural number.

QUESTION: 6

The list of numbers -10, -6, -2, 2, ... is

Solution:

QUESTION: 7

The 6th term from the end of the AP: 5, 2, -1 , -4 , . . . , -31 is

Solution:

QUESTION: 8

Two APs have the same common difference. The first term of one of these is -1 and that of the other is -8. Then the difference between their 4th terms is

Solution:

a_{4} - b_{4} = (a_{1} + 3d) - (b_{1} + 3d)

= a_{1} b_{1} = - 1 - (-8) = 7

QUESTION: 9

Which term of the AP : 21, 42, 63, 84, ... is 210 ?

Solution:

QUESTION: 10

If the nth term of an AP is (2n + 1), then the sum of its first three terms is

Solution:

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