1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Varvara68 [4.7K]
3 years ago
12

The first term of an arithmetic sequence is 14. The 25 th term is 206. What is the common difference of the arithmetic sequence?

Advanced Placement (AP)
2 answers:
Illusion [34]3 years ago
8 0

Given:

a1(first term in arithmetic sequence): 14

a25 ( 25th term in arithmetic sequence): 206

Let d be the arithmetic difference

a25= a1+ 24d

206= 14+ 24 x d

Solving for d we get

d=8.

Thus the arithmetic difference is 8.

Lady_Fox [76]3 years ago
5 0

Answer:

The common difference is 8

Explanation:

The first term of an arithmetic progression is 14 and the 25th term is 206. The formula to calculate for arithmetic progression is as follows:

Ap = a + (n-1)d

where

a = first term

n = number of term

d = common difference

a = 14

n = 25

Ap = 206

d = ?

The 25th term is 206 ,therefore,

206 = 14 + ( 25 - 1 ) d

206 = 14 + (24)d

collect like terms

206 - 14 = 24d

192 = 24d

divide both sides by 24

d = 192/24

d = 8

The common difference is 8

You might be interested in
Approximate the Area Under a Curve Using Rectangles
Anna35 [415]

Answer:

Explanation:

.3x

6 0
2 years ago
How should the punctuation in this sentence be changed, if at all?
monitta
I want to go, but my mom won't let me.
                        or
I want to go but, my mom won't let me.

7 0
3 years ago
Alin sa sumusunod ang pangunahing pinagbabatayan ng mga prodyuser sa paggawa ng mga
zavuch27 [327]

Answer:

Ambitious Ambitious Ambitious Ambitious

$_$

7 0
3 years ago
Advancement in nuclear science have led to new technology which has been beneficial to society.Which technology is a possible cl
prohojiy [21]

Answer:

Nuclear fission

Explanation:

Nuclear science is the field of physics that explains the atomic theory. It also explains the behavior, structure, and component parts of atomic nuclei.

Nuclear fission is used in nuclear power plants.

It is a great deal of radioactive waste that releases a great deal of energy with a little radioactivity.

In this process, the nucleus of an atom splits into two or more smaller and lighter nuclei.

3 0
3 years ago
Always include a citation when you use facts or statistics in a document. true or false
Temka [501]
True because you need to cite source of that fact
6 0
3 years ago
Other questions:
  • Which was the primary purpose of the expansion of trade in the Zhou and Han dynasties in China?
    15·2 answers
  • 40 POINTS!! Help Asap please.... EARTH & SPACE SCIENCE
    7·1 answer
  • What term is used to describe behavior that can be labeled criminal because it is contrary to shared social values, customs, and
    14·1 answer
  • Provide a specific example of how the “third variable problem” could affect this study.
    11·2 answers
  • In order to help you answer this true/false statement, which words should be underlined?:
    6·2 answers
  • Ano ang pangunahing sanhi sa solid waste​
    12·1 answer
  • Which of these galaxies can be shaped as a single spiral arm?
    8·2 answers
  • How can you show appreciation for the arts of calabarzon and bicol region
    7·1 answer
  • How does the judiciary fit into the concept of separation of powers?
    7·1 answer
  • Really need help with the statistical reasoning!!!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!