Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Nancy sent $16$ e-mails on Friday, $25$ e-mails on Saturday, $36$ e-mails on Sunday, and $49$ e-mails on Monday. What kind of sequence is this? $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

View step-by-step help

View step-by-step help

Identify arithmetic and geometric sequences

Full solution

Q. Nancy sent

16

e-mails on Friday,

25

e-mails on Saturday,

36

e-mails on Sunday, and

49

e-mails on Monday. What kind of sequence is this?

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

(C) both

\newline

(D) neither

Identify Sequence: Identify the sequence given by Nancy's e-mail sending pattern. $\newline$ Nancy sent $16$ e-mails on Friday, $25$ e-mails on Saturday, $36$ e-mails on Sunday, and $49$ e-mails on Monday. $\newline$ Sequence: $16, 25, 36, 49$
Check Arithmetic: Check if the sequence is arithmetic by finding the differences between consecutive terms. $\newline$ $25 - 16 = 9$ $\newline$ $36 - 25 = 11$ $\newline$ $49 - 36 = 13$ $\newline$ The differences between consecutive terms are not equal.
Check Geometric: Check if the sequence is geometric by finding the ratios between consecutive terms. $\frac{25}{16} \approx 1.5625$ $\frac{36}{25} = 1.44$ $\frac{49}{36} \approx 1.3611$ The ratios between consecutive terms are not equal.
Determine Sequence Type: Determine the type of sequence based on the previous steps. $\newline$ Since the sequence has neither a common difference nor a common ratio, it is neither arithmetic nor geometric.

More problems from Identify arithmetic and geometric sequences

Question

What is the period of

\newline

y=-2 \sin \left(\frac{2}{3} x-4\right) ?

\newline

Give an exact value.

\newline

Posted 10 months ago

Question

What is the period of

\newline

y=8 \cos \left(5 \pi x+\frac{3 \pi}{2}\right)-9 ?

\newline

Give an exact value.

\newline

Posted 10 months ago

Question

z=91-27 i

\newline

What is the real part of

z

\newline

What is the imaginary part of

z

Posted 10 months ago

Question

z=-19 i+14

\newline

What is the real part of

z

\newline

What is the imaginary part of

z

Posted 10 months ago

Question

z=-302+19.3 i

\newline

What is the real part of

z

\newline

What is the imaginary part of

z

Posted 10 months ago

Question

The sum of the first

3

terms of a geometric series is

171

and the common ratio is

\frac{2}{3}

\newline

What is the first term of the series?

Posted 10 months ago

Question

The first term in a geometric series is

5

and the common ratio is

2

\newline

Find the sum of the first

10

terms in the series.

Posted 10 months ago

Question

What happens to the value of the expression

70-3 g

g

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Posted 10 months ago

Question

What happens to the value of the expression

m-10

m

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Posted 10 months ago

Question

What happens to the value of the expression

20+a

a

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant