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C. Find the first five terms of the sequence defined recursively.
Please solve this problem:
1. a1=5; an=3(an-1-2) for n>2
2. a1=1; an=2an-1+1 for n>2
3. a1=2; a2=3; an=3an-1-2an-2 for n>3
4. a1=1; an=an-1+4n for n>2​

Sagot :

Lovesexy770idn

Answer:

ito ay dapat sinasagutan niyo wag kayo tanong ng tanong

Kidsmakesmehappyidn

, n ≥ 3.

c. First, find the 13th and 14th terms by writing out 14 terms of the sequence:  1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 

233, 377. 

Then,  a13 = 233 and a14 = 377. Thus, a15 = a13 + a14 or 610.

d. Sample answer: Fibonacci sequence is not an arithmetic sequence since there is no common difference.

31. ERROR ANALYSIS Patrick and Lynda are working on a math problem that involves the sequence 2, –2, 2, –2, 2,

… . Patrick thinks that the sequence can be written as a recursive formula. Lynda believes that the sequence can be

written as an explicit formula. Is either of them correct? Explain.

SOLUTION:  

Both; sample answer: The sequence can be written as the recursive formula a1

= 2, an

= (–1)an – 1

, n ≥ 2. The 

sequence can also be written as the explicit formula an

= 2(–1)n – 1

.

32. CHALLENGE Find a1

for the sequence in which a4

= 1104 and an

= 4an – 1

+ 16.

SOLUTION:  

Find a3

first.

Find a2

next.

interest rate compounded monthly. How much money will

Nicholas have after 5 years?

SOLUTION:  

After 5 years, Nicholas will have $2664.35. 

47. TOURS The Snider family and the Rollins family are traveling together on a trip to visit a candy factory. The

number of people in each family and the total cost are shown in the table below. Find the adult and children’s

admission prices.

SOLUTION:  

Let a be the admissions cost for adults and c the admission cost of children.

Then 2a + 3c = 58 and 2a + c = 38.

So, tickets for adults cost $14 and tickets for children cost $10. 

Write each equation in standard form.

48. 

SOLUTION:  

49. 

SOLUTION:  

50. 

SOLUTION:  

51. 

SOLUTION:  

52. 

SOLUTION:  

53. 

SOLUTION:  

Simplify each expression. If not possible, write simplified.

54. 

SOLUTION:  

55. 

SOLUTION:  

56. 

SOLUTION:  

57. 

SOLUTION:  

There are no like terms, so the expression is simplified. 

58. 

SOLUTION:  

59. 

SOLUTION:  

There are no like terms, so the expression is simplified.

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