1) Determine whether the sequence ɑn = find the limit. (2) Hint: Ei = + converges or diverges. If it converges, + k(k+1)

Q: The first fifteen Fibonacci numbers are: 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 What are your…

A:

Q: Find the sum of the first 4,000 odd numbers.

A: Sum of first 4000 odd numbers can be calculated by using AP as follows                AP   1,…

Q: Complete the next two equations of this sequence: 1=1 1-4+-3 1-4+9=6 1-4+9-16=-10

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Q: <A and <B are complementary. If <A is 53 degrees, how many degrees is <B?

A:

Q: Rule 1: Multiply by 2 then add 1 starting from 1. Rule 2: Divide by 2 then add 4 starting from 40.…

A: To find the ordered pair of sequence 1 and sequence 2 given in rule 1 and rule 2 respectively .

Q: Instructions: Find the nth term/ indicated term of Fibonacci Sequence. Write the solutions in a…

A: The nth Fibonacci term is given by  Fn=Fn-1+Fn-2, n≥2F0=0F1=1Fn=1+5n-1-5n2n5 For n=70…

Q: An expiriment requires a sequence of three steps. THe first step can result in three possible…

A: Consider the given information.

Q: Find the next term in the sequences 5,24,7,48,15,x.   Find x. Please show all the steps of the…

A: Solution is given below:

Q: A certain number of points are equally spaced around a circle. Each point is to be joined to every…

A: A certain number of points are equally spaced around a circle. Each point is to be joined to every…

Q: 10.Use a number line to represent and solve each problem. a.3/6 + 1/6 b.4/5 - 2/5

A: Following steps need to be taken: 1. Draw a horizontal line and mark a point 0 on it.  2. Right side…

Q: 20) Karrie traveled for 0.75 hours in her motorboat upstream to pick up her order of eighty-four…

A:

Q: The fourth term is 12 and the seventh term is 32 Find the first and nth terms..

A: Find first and nth term

Q: 8. Use a number line like the one in Figure 1.39 for the problems that follow. For each prob- lem,…

A: We have to plot 13.58 on a number line on which the long tick marks are whole number.

Q: Take a sequence of diagrams and imagine building each diagram from matchsticks, like the one shown…

A: Given the sequence of diagrams and each of them are built by matchsticks of 1 unit each.(a)We need…

Q: The following bar graph shows the per capita personal incomes for six states in 2003. Use this bar…

A: Given the bar diagram of per capita personal income by 2003.want to find the highest per capita…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.