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Question (11)

QN0010064

If , then the first three terms are:

(A) 2, 7, 17
(B) 2, 5, 13
(C) 2, 4, 8
(D) 2, 6, 18

Correct Answer: A

Explanation:

.

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Question (12)

QN0010065

In the Virahānka–Fibonacci sequence, each term is obtained by:

(A) doubling the previous term
(B) adding 1 to the previous term
(C) adding the previous two terms
(D) squaring the previous term

Correct Answer: C

Explanation:

Each term is the sum of the previous two terms.

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Question (13)

QN0010066

If , then equals:

(A) 5
(B) 6
(C) 7
(D) 8

Correct Answer: D

Explanation:

Sequence: 1, 2, 3, 5, 8.

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Question (14)

QN0010067

Which mathematician from India first studied the Virahānka sequence?

(A) Aryabhata
(B) Ramanujan
(C) Virahānka
(D) Bhaskara II

Correct Answer: C

Explanation:

Virahānka studied this sequence in Indian mathematics.

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Question (15)

QN0010068

The recursive rule produces:

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

Correct Answer: C

Explanation:

Every term remains 7.

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Question (16)

QN0010069

If , then the fifth term is:

(A) 11
(B) 13
(C) 15
(D) 17

Correct Answer: C

Explanation:

Terms are –1, 3, 7, 11, 15.

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Question (17)

QN0010070

The recursive rule gives as:

(A) 45
(B) 75
(C) 135
(D) 225

Correct Answer: C

Explanation:

.

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Question (18)

QN0010071

Which of the following requires knowing earlier terms to find later terms?

(A) explicit formula
(B) recursive formula
(C) algebraic identity
(D) linear equation

Correct Answer: B

Explanation:

Recursive formulas depend on previous terms.

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Question (19)

QN0010072

If , then the sequence is:

(A) 6, 8, 10, 12, …
(B) 6, 4, 2, 0, …
(C) 6, 3, 0, –3, …
(D) 6, 2, –2, –6, …

Correct Answer: B

Explanation:

Subtract 2 repeatedly.

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Question (20)

QN0010073

If , then and are:

(A) 5 and 17
(B) 3 and 11
(C) 4 and 14
(D) 5 and 15

Correct Answer: A

Explanation:

.

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Question (11)

If , then the first three terms are:

Explanation:

Link:

Question (12)

In the Virahānka–Fibonacci sequence, each term is obtained by:

Explanation:

Link:

Question (13)

If , then equals:

Explanation:

Link:

Question (14)

Which mathematician from India first studied the Virahānka sequence?

Explanation:

Link:

Question (15)

The recursive rule produces:

Explanation:

Link:

Question (16)

If , then the fifth term is:

Explanation:

Link:

Question (17)

The recursive rule gives as:

Explanation:

Link:

Question (18)

Which of the following requires knowing earlier terms to find later terms?

Explanation:

Link:

Question (19)

If , then the sequence is:

Explanation:

Link:

Question (20)

If , then and are:

Explanation:

Link:

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