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
Step2247 [10]
3 years ago
6

Consider the sequence: 3, 8, 13, 18, 23, ...The recursive formula for this sequence is:an = an-1 + 5In a COMPLETE sentence, expl

ain what an and an-1 represent in the formula. Then find a8 . What do you need to know in order to find a8 ?
Mathematics
1 answer:
Leona [35]3 years ago
5 0

Answer:

see the explanation

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant called the common difference

we have

3, 8, 13, 18, 23,...

Let

a_1=3\\a_2=8\\a_3=13\\a_4=18\\a_5=23\\

a_2-a_1=8-3=5 ------>a_2=a_1+5

a_3-a_2=13-8=5 ------>a_3=a_2+5

a_4-a_3=18-13=5 ------>a_4=a_3+5

a_5-a_4=23-18=5 ------>a_5=a_4+5

so

the common difference between consecutive terms is equal to 5

we can rewrite the formula as

a_n=a_(_n_-_1_)+5 -----> given formula

For n > 1

where

an is the term that you want to find (position n)

a(n-1) is the known term position (n-1)

Find a_8

For n=8

a_8=a_(_8_-_1_)+5

a_8=a_7+5

I need to know a_7

or

we know that

The general formula for arithmetic sequence is equal to

a_n=a_1+d(n-1)

where

an is the term that you want to find (position n)

a_1 is the first term

d is the common difference

n is the number of terms

we have

a_1=3

d=5

substitute

a_n=3+5(n-1)

a_n=3+5n-5

a_n=5n-2

so

For n=8

a_8=5(8)-2

a_8=38

You might be interested in
Find the area of the circle... Round to the nearest tenth and include units in your answer
Fantom [35]

Answer:

452.4 cm

Step-by-step explanation:

the formula for the area of a circle is A = pi r^2

4 0
3 years ago
****SOMEONE ANSWER PLEASE*****
Gwar [14]
B = tp - (s + 2000) / 3

b=(8000)(12) - (4000 + 2000) / 3
b=(96000) - (6000) / 3
b=96000 - 6000 / 3

Answer
b=£30000
b=£94000
6 0
3 years ago
Read 2 more answers
Convert 120 Inches to feet. There are 12 inches in a foot,
Evgesh-ka [11]

Step-by-step explanation:

the answer is 10 ft. cuz 120 / 12 is 10

4 0
2 years ago
Read 2 more answers
Enter the phrase as an algebraic expression.
liraira [26]

Answer:

The algebraic expression is p/9

Step-by-step explanation:

8 0
2 years ago
Please help I need the answer it’s due today by 3!!!
NeX [460]

Answer:

x=23

Step-by-step explanation:

90 - 65 = 25

25 - 2 =23

6 0
2 years ago
Other questions:
  • A system of equations is shown below:
    11·2 answers
  • Identify the number that does not belong ...
    6·1 answer
  • Which number belongs as the question mark?
    7·1 answer
  • What is the equation of the circle shown below?​
    15·1 answer
  • ANYONE PLS HELP ASAP!!!
    11·2 answers
  • Please, quickly. Sorry for the poor picture quality.
    5·1 answer
  • 1. Find the distance between the two numbers on a number line. Write your awnser as a mixed number.
    15·1 answer
  • I need help, the options are: Corresponding Angles, Vertical Angles, Alternate interior angles, linear pair, alternate exterior
    7·1 answer
  • 10. Use the discriminant to find the values of b for which the equation 4x2 + bx + 1 = 0 has one real solution.
    9·1 answer
  • a certain rectangular carpet covers 200 square meters. it’s width is 4 meters. how long is the carpet?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!