Determine whether the given sequence is arithmetic. If so, then find the common difference. 4, 9, 14, 19, 24,...

Answers (1)

2020-10-19

From the above sequence, it can be observed that \(a_1 = 4,a_2 =9,a_3 =14,a_4 =19,a_5 = 24.\) Subtract the two consecutive numbers of the sequence as shown below: \(a_2 - a_1 =9-4\)
\(=5\)
\(a3 - a2 =14-9\)
\(=5\)
\(a_4 - a_3 =19-14\)
\(=5\)
\(a_5 - a_4 =24-19\)
\(=5\) It can be seen that the difference between the two consecutive numbers of the sequence is 5 (a constant). Thus, the given sequence is arithmetic and the common difference is 5.

Relevant Questions

asked 2021-03-08

The general term of a sequence is given \(a_{n} = \left(\frac{1}{2}\right)^{n}\). Determine whether the sequence is arithmetic, geometric, or neither.
If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

See answers (1)

asked 2020-11-30

The general term of a sequence is given \(a_{n} = 2^{n}\). Determine whether the sequence is arithmetic, geometric, or neither.
If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

See answers (1)

asked 2020-11-12

Determine whether the given sequence is arithmetic. If so, then find the common difference. \(80, 40, 20, 10, 5,...\)

See answers (1)

asked 2020-12-03

1. Is the sequence \(0.3, 1.2, 2.1, 3, ...\) arithmetic? If so find the common difference.
2. An arithmetic sequence has the first term \(a_{1} = -4\) and common difference \(d = - \frac{4}{3}\). What is the \(6^{th}\) term?
3. Write a recursive formula for the arithmetic sequence \(-2, - \frac{7}{2}, -5, - \frac{13}{2} ...\) and then find the \(22^{nd}\) term.
4. Write an explicit formula for the arithmetic sequence \(15.6, 15, 14.4, 13.8, ...\) and then find the \(32^{nd}\) term.
5. Is the sequence \(- 2, - 1, - \frac{1}{2},- \frac{1}{4},...\) geometric? If so find the common ratio. If not, explain why.

See answers (1)

asked 2021-02-23

Determine whether the sequence is arithmetic. If so, identify the common difference 11, 10.2, 9.4, 8.6, 7.8, …

See answers (1)

asked 2021-02-02

Determine whether the given sequence could be geometric,arithmetic, or neither.
If possoble, identify the common ratio or difference.
9, 13, 17, 21, ....
a. arithmetic \(d = 4\)
b. geometric \(r = 4\)
c. geometric \(r = \frac{1}{4}\)
d. neither

See answers (1)

asked 2020-11-12

Determine whether the sequence is arithmetic. If so, identify the common difference 1, 2, 4, 8, 16, …

See answers (1)

asked 2021-02-09

The general term of a sequence is given \(a_{n} = n + 5\).
Determine whether the sequence is arithmetic, geometric, or neither.
If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

See answers (1)

asked 2021-02-09

The first term in an arithmetic sequence is 9. The fourth term in the sequence is 24.the twentieth ter is 104. What is the common difference of this sequence? How do you find the nth term of the arithmetic sequence?

See answers (1)

asked 2020-11-30

Detemine whether the given sequence geometric or neither if the sequence is srithmetic, find the common difference, if it is geometric, find the common ratio.
If the sequence is arithmetic or geometric, find the \(\sum\ \text{of}\ \left\{\left(\frac{5}{8}\right)^{n}\right\}\)

See answers (1)

You might be interested in

Solve the following equation. Indicate which of the values you find are allowed to be solutions to the original equation. \frac{-40}{x^{2}}+\frac{13}{x}=1

Determine whether each equation represents exponential growth or exponential decay. Find the rate of increase or decrease for each model. Graph each e

Solve the following quadratic equations by factorization method \frac{x+3}{x-2}-\frac{1-x}{x}=\frac{17}{4}

Explain what you know about the roots of polynomial functions. How can you determine all of the roots? Give examples, including sketches of graphs.

F = Gm1m2 / r^2 for m2

Global warming is a topic of concern and of political discussion. Without doing research, discuss how modeling might be used to determine what might b

Find two different sets of parametric equations for the rectangular equation y = 4/(x − 1)

State whether the equation represents exponential growth, exponential decay, or neither. y=0.93⋅2^x

What is the slope of the line that passes through the pair of points (–5.5, 6.1), (–2.5, 3.1)?Group of answer choices–11-2½

The table shows the number of employees at a software company in various years. Years Since 2000 4 6 8 10 Number of Employees 32 40 75 124 Use your calculator to find an exponential equation that models the growth of the company.

Look at this table:x y1–22–43–84–165–32Write a linear (y=mx+b), quadratic (y=ax2), or exponential (y=a(b)x) function that models the data.y=

Find the multiplier for the rate of exponential growth or decay. 1% decay ________

...