Finance & Recursion - MCQ

The sequence generated by the recurrence relation is

• 1. 6, 9, 46, 136, 406, ...

• 1. 6, 9, 12, 15, 18, ...

• 1. 6, 2, −2,−6, −10, ...

• 1. 6, 14, 44, 134, 401, ...

The sequence generated by the recurrence relation is

• 1. 6, 16, 46, 136, 406, ...

• 6, 9, 12, 15, 18, ...

• 6, 2, -2, -6, -10, ...

• 6, 14, 44, 134, 401, ...

Which of the following could be the first five terms of an arithmetic sequence?

• 2, 4, 2, 4, 2

• 1, 10, 100, 1000, 10000

• -189, -89, 11, 111, 211

• 1, 4, 9, 16, 25

Brian initially has two camelias in his garden. Every week, he will plant three more camelias.

A recurrence model for the number of camelias in Brian's backyard after n weeks is

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Lee invests $40000 with a bank. She will be paid simple interest at the rate of 5.1% per annum. If Vn is the value of Lee's investment after n years, a recurrence model for Lee's investment is

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A sequence is generated from the recurrence relation V0=50, Vn+1=Vn−20.

The rule for the value of the term Vn is

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A computer is depreciated using a flat-rate depreciation method. It was purchased for $3200 and depreciates at the rate of 15% per annum. The value of the computer after 4 years is

• $1280

• $1920

• $1760

• $2720

For the arithmetic sequence with t0=39, t1=36, t2=33,…, the term t8 is equal to

• 14

• 15

• 16

• 24

For an arithmetic sequence with terms t0,t1,t2,…, it is known that t1=26 and t5=10. The term t3 is equal to:

• 14

• 18

• 32

• 40

Which one of the following is not a geometric sequence?

• 2, 30, 450, 6750, ...

• -3, 9, -27, 81, -243, 729, -2187, ...

• 7, 21, 55, 165, ...

• 1, 3, 9, 27, 81, ...