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Semmy [17]
4 years ago
13

Write a recursive formula for the arithmetic sequence {an}={2,7/2,5,13/2,...}.

Mathematics
1 answer:
Vesna [10]4 years ago
4 0

Answer:

a)

Step-by-step explanation:

in a arithmetic sequence you need to find the difference between the terms in order to get the formula, in this case from 2 you're adding 3/2 to get the next term, therefore the answer is a) an=an-1+3/2

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Part II: Find the sine, cosine, and tangent ratios of <y ​
Lorico [155]

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

6 0
3 years ago
(x+0.5)^3 Expand the Equation using Pascal’s Triangle and the Binomial Theorem.
barxatty [35]

Answer: x^3 + 1.5x^2 + 0.75x + 0.125

Step-by-step explanation:

Use the binomial expansion theorem to find and simplify each term.

3 0
3 years ago
1. Evaluate each algebraic expression.
almond37 [142]

Answer:

-11, 4, and 22

Step-by-step explanation:

Expression: 3b-5

when b=-2

Expression: 3(-2)-5=-11

When b=3

Expre; 3(3)-5=4

When b=9

Expre; 3(9)-5=22

7 0
3 years ago
What is the last step when solving the following equation for m? 4m-6=92
charle [14.2K]
The last step is dividing both sides by 4: 4m=98 which would become: m=24.5

Hope this helps :)
7 0
3 years ago
Read 2 more answers
Jane has earned a 91, 85, and 84 on her first three quizzes of the semester. If she hopes to have an A quiz average (90 or above
fenix001 [56]

Answer:

100

Step-by-step explanation:

91+85+84+100 is 360

Divide that by 360, and you get 90, exactly.

I hope this helps!

5 0
3 years ago
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