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Question (1)

QN0036671

Which of the following sequences is an arithmetic progression?

(A) 2, 4, 8, 16, ...
(B) is always 4. Hence, it is an AP.
(C) 1, 2, 4, 7, ...
(D) 5, 10, 20, 40, ...

Correct Answer: B

Explanation:

The difference between consecutive terms in option (b) is always 4. Hence, it is an AP.

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Question (2)

QN0036672

What is the common difference of the AP 17, 12, 7, 2, ...?

(A) 5
(B) -5
(C) -4
(D) 4

Correct Answer: B

Explanation:

d = 12 - 17 = -5.

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Question (3)

QN0036673

Which type of AP has a common difference equal to zero?

(A) Increasing AP
(B) Decreasing AP
(C) Constant AP
(D) Alternating AP

Correct Answer: C

Explanation:

If d = 0, all terms are equal, so the AP is constant.

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Question (4)

QN0036674

The general form of an arithmetic progression with first term a and common difference d is:

(A) a, a + d, a + 2d, ...
(B) a, ad, ad², ...
(C) a, a + d², a + d³, ...
(D) a, a - d², a - 2d², ...

Correct Answer: A

Explanation:

The terms of an AP are a, a + d, a + 2d, a + 3d, ...

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Question (5)

QN0036675

If the 8th term of an AP is 31 and its common difference is 4, what is its first term?

(A) 1
(B) 2
(C) 3
(D) 4

Correct Answer: C

Explanation:

a8 = a + 7d. Thus, 31 = a + 28, giving a = 3.

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Question (6)

QN0036676

What is the 20th term of the AP 7, 12, 17, 22, ...?

(A) 97
(B) 102
(C) 107
(D) 112

Correct Answer: B

Explanation:

a20 = 7 + 19(5) = 102.

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Question (7)

QN0036677

The 15th term of the AP 14, 10, 6, 2, ... is:

(A) -42
(B) -46
(C) -38
(D) 42

Correct Answer: A

Explanation:

a15 = 14 + 14(-4) = -42.

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Question (8)

QN0036678

If the 20th term of an AP is 64 and its first term is 7, then its common difference is:

(A) 2
(B) 3
(C) 4
(D) 5

Correct Answer: B

Explanation:

64 = 7 + 19d, so 19d = 57 and d = 3.

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Question (9)

QN0036679

Which term of the AP 4, 9, 14, 19, ... is 79?

(A) 14th
(B) 15th
(C) 16th
(D) 17th

Correct Answer: C

Explanation:

79 = 4 + (n - 1)5. Hence, n - 1 = 15 and n = 16.

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Question (10)

QN0036680

Which term of the AP 50, 46, 42, 38, ... is 2?

(A) 11th
(B) 12th
(C) 13th
(D) 14th

Correct Answer: C

Explanation:

2 = 50 - 4(n - 1). Thus, n - 1 = 12 and n = 13.

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Question (1)

Which of the following sequences is an arithmetic progression?

Explanation:

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Question (2)

What is the common difference of the AP 17, 12, 7, 2, ...?

Explanation:

Link:

Question (3)

Which type of AP has a common difference equal to zero?

Explanation:

Link:

Question (4)

The general form of an arithmetic progression with first term a and common difference d is:

Explanation:

Link:

Question (5)

If the 8th term of an AP is 31 and its common difference is 4, what is its first term?

Explanation:

Link:

Question (6)

What is the 20th term of the AP 7, 12, 17, 22, ...?

Explanation:

Link:

Question (7)

The 15th term of the AP 14, 10, 6, 2, ... is:

Explanation:

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Question (8)

If the 20th term of an AP is 64 and its first term is 7, then its common difference is:

Explanation:

Link:

Question (9)

Which term of the AP 4, 9, 14, 19, ... is 79?

Explanation:

Link:

Question (10)

Which term of the AP 50, 46, 42, 38, ... is 2?

Explanation:

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