Important Questions: Arithmetic Progressions - Class 10 MCQ

# Important Questions: Arithmetic Progressions - Class 10 MCQ

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## 10 Questions MCQ Test Mathematics (Maths) Class 10 - Important Questions: Arithmetic Progressions

Important Questions: Arithmetic Progressions for Class 10 2024 is part of Mathematics (Maths) Class 10 preparation. The Important Questions: Arithmetic Progressions questions and answers have been prepared according to the Class 10 exam syllabus.The Important Questions: Arithmetic Progressions MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Important Questions: Arithmetic Progressions below.
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Important Questions: Arithmetic Progressions - Question 1

### The first term and the common difference for the  are respectively

Detailed Solution for Important Questions: Arithmetic Progressions - Question 1

clearly first term is 4/3
for common difference 1/3-4/3=-1

Important Questions: Arithmetic Progressions - Question 2

### If p, q, r are in AP, then p3 + r3 - 8q3 is equal to

Detailed Solution for Important Questions: Arithmetic Progressions - Question 2

∵ p, q, r are in AP.
∴ 2 q = p + r
⇒ p + r - 2 q = 0

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Important Questions: Arithmetic Progressions - Question 3

### The next term of the

Detailed Solution for Important Questions: Arithmetic Progressions - Question 3

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

Important Questions: Arithmetic Progressions - Question 4

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

Detailed Solution for Important Questions: Arithmetic Progressions - Question 4

a101 = 3.5 + 0 (100) = 3.5

Important Questions: Arithmetic Progressions - Question 5

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

Detailed Solution for Important Questions: Arithmetic Progressions - Question 5

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

Important Questions: Arithmetic Progressions - Question 6

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

Detailed Solution for Important Questions: Arithmetic Progressions - Question 6

-10+4 = -6
-6 + 4 = -2
-2 + 4 = 2
so clearly d = 4

Important Questions: Arithmetic Progressions - Question 7

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

Detailed Solution for Important Questions: Arithmetic Progressions - Question 7

The given AP is 5, 2, -1, -4 ... ...., -31
d = 2 - 5 = -3, so d for the AP starting from the last term is 3.
The first term = l = -31
We know, a= a+(n−1)d
a6 from the end = −31+(5)3
a6 from the end = −16

Important Questions: Arithmetic Progressions - 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

Detailed Solution for Important Questions: Arithmetic Progressions - Question 8

a4 - b4 = (a1 + 3d) - (b1 + 3d)
= a1 b1 = - 1 - (-8) = 7

Important Questions: Arithmetic Progressions - Question 9

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

Detailed Solution for Important Questions: Arithmetic Progressions - Question 9

Let nth term of the given AP be 210.
Here, first term,
a = 21
And common difference,
d = 42 – 21 = 21 and
an = 210

⇒ 210 = 21 + (n - 1)21
⇒ 210 = 21 + 21n - 21
⇒ 210 = 21n
⇒ n = 10
Hence, the 10th term of the AP is 210.

Important Questions: Arithmetic Progressions - Question 10

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

Detailed Solution for Important Questions: Arithmetic Progressions - Question 10

## Mathematics (Maths) Class 10

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## Mathematics (Maths) Class 10

116 videos|420 docs|77 tests