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Question (11)

QN0010038

If , then the sequence is:

(A) increasing
(B) decreasing
(C) constant
(D) alternating

Correct Answer: B

Explanation:

Each term decreases by 2.

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Question (12)

QN0010039

The 12th term of the sequence is:

(A) 286
(B) 287
(C) 288
(D) 289

Correct Answer: B

Explanation:

.

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Question (13)

QN0010040

If the explicit rule of a sequence is , then the first four terms are:

(A) 8, 7, 6, 5
(B) 9, 8, 7, 6
(C) 10, 9, 8, 7
(D) 7, 6, 5, 4

Correct Answer: A

Explanation:

Substituting gives 8, 7, 6, 5.

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Question (14)

QN0010041

The value of for which in the sequence is:

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

Correct Answer: C

Explanation:

.

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Question (15)

QN0010042

Which sequence is represented by ?

(A) 2, 6, 12, 20, …
(B) 1, 4, 9, 16, …
(C) 1, 3, 6, 10, …
(D) 2, 4, 6, 8, …

Correct Answer: A

Explanation:

Substituting gives 2, 6, 12, …

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Question (16)

QN0010043

The explicit rule gives the third term as:

(A) –2
(B) –3
(C) –4
(D) –5

Correct Answer: C

Explanation:

.

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Question (17)

QN0010044

Which of the following best explains why explicit rules are useful?

(A) They avoid using numbers.
(B) They help find any term directly.
(C) They make sequences finite.
(D) They always produce whole numbers.

Correct Answer: B

Explanation:

Explicit rules help find any term directly.

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Question (18)

QN0010045

If , then which of the following is a term of the sequence?

(A) 20
(B) 25
(C) 28
(D) 31

Correct Answer: B

Explanation:

.

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Question (19)

QN0010046

The first three terms of the sequence defined by are:

(A) –1, 2, 7
(B) –1, 2, 5
(C) 1, 2, 7
(D) –2, 2, 6

Correct Answer: A

Explanation:

.

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Question (20)

QN0010047

In the sequence , the difference between consecutive terms is:

(A) 3
(B) 5
(C) 8
(D) 11

Correct Answer: C

Explanation:

Consecutive terms increase by 8.

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Question (11)

If , then the sequence is:

Explanation:

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Question (12)

The 12th term of the sequence is:

Explanation:

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Question (13)

If the explicit rule of a sequence is , then the first four terms are:

Explanation:

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Question (14)

The value of for which in the sequence is:

Explanation:

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Question (15)

Which sequence is represented by ?

Explanation:

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Question (16)

The explicit rule gives the third term as:

Explanation:

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Question (17)

Which of the following best explains why explicit rules are useful?

Explanation:

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Question (18)

If , then which of the following is a term of the sequence?

Explanation:

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Question (19)

The first three terms of the sequence defined by are:

Explanation:

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Question (20)

In the sequence , the difference between consecutive terms is:

Explanation:

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