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Question (1)

QN0010054

A recursive rule for a sequence is a rule that:

(A) uses only the value of
(B) gives a term using previous terms
(C) always produces square numbers
(D) works only for finite sequences

Correct Answer: B

Explanation:

Recursive rules use previous terms to find the next term.

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Question (2)

QN0010055

If and for , then the first four terms are:

(A) 2, 5, 8, 11
(B) 2, 7, 12, 17
(C) 2, 6, 10, 14
(D) 2, 4, 6, 8

Correct Answer: B

Explanation:

Add 5 repeatedly to each previous term.

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Question (3)

QN0010056

In the recursive rule , the third term is:

(A) 8
(B) 12
(C) 16
(D) 20

Correct Answer: C

Explanation:

.

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Question (4)

QN0010057

If and , then equals:

(A) 10
(B) 12
(C) 14
(D) 16

Correct Answer: D

Explanation:

Terms are .

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Question (5)

QN0010058

In the recursive formula , the sequence formed is:

(A) arithmetic progression
(B) geometric progression
(C) triangular sequence
(D) square sequence

Correct Answer: B

Explanation:

Each term is multiplied by 3.

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Question (6)

QN0010059

The first term must be given in a recursive rule because:

(A) terms are always negative
(B) the sequence may stop otherwise
(C) later terms depend on earlier terms
(D) recursive rules use fractions only

Correct Answer: C

Explanation:

Recursive rules require starting information.

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Question (7)

QN0010060

If , then the second term is:

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

Correct Answer: B

Explanation:

.

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Question (8)

QN0010061

Which sequence is generated by ?

(A) 10, 13, 16, 19, …
(B) 10, 7, 4, 1, …
(C) 10, 6, 2, –2, …
(D) 10, 5, 0, –5, …

Correct Answer: B

Explanation:

Subtract 3 each time.

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Question (9)

QN0010062

If and , then is:

(A) 8
(B) 16
(C) 32
(D) 64

Correct Answer: B

Explanation:

.

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Question (10)

QN0010063

The recursive rule generates:

(A) odd numbers
(B) multiples of 3
(C) an arithmetic progression
(D) square numbers

Correct Answer: C

Explanation:

Constant addition forms an AP.

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Question (1)

A recursive rule for a sequence is a rule that:

Explanation:

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Question (2)

If and for , then the first four terms are:

Explanation:

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Question (3)

In the recursive rule , the third term is:

Explanation:

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Question (4)

If and , then equals:

Explanation:

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Question (5)

In the recursive formula , the sequence formed is:

Explanation:

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Question (6)

The first term must be given in a recursive rule because:

Explanation:

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Question (7)

If , then the second term is:

Explanation:

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Question (8)

Which sequence is generated by ?

Explanation:

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Question (9)

If and , then is:

Explanation:

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Question (10)

The recursive rule generates:

Explanation:

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