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
8_murik_8 [283]
2 years ago
15

Write an explicit formula for the arithmetic sequence whose common difference is -18

Mathematics
2 answers:
drek231 [11]2 years ago
7 0

Let the first term be a(0).  Then the formula for a(n) is a(0)-18(n-1).

Check:  What's the first term?  Let n = 1:  a(1) = a(0)-18(1-1) = a(0) (correct)

What's the second term?    Let -n =2:  a(2) = a(0)-18(2-1) = a(0) - 18

and so on.

wolverine [178]2 years ago
4 0

Answer : The an explicit formula for the arithmetic sequence will be, a(n)=a-18\times (n-1)

Step-by-step explanation :

Arithmetic progression : It is a sequence of numbers in which the difference of any two successive number is a constant.

The general formula of arithmetic progression is:

a(n)=a+(n-1)d

where,

a(n) = nth term in the sequence

a = first term in the sequence

d = common difference

n = number of terms in the sequence

As we are given that:

Common difference = d = -18

Thus, the formula of arithmetic progression will be:

a(n)=a+(n-1)d

a(n)=a+(n-1)\times (-18)

a(n)=a-18\times (n-1)

For example:

Let n=1 :

a(n)=a-18\times (n-1)\\\\a(1)=a-18(1-1)=a

Let n=2 :

a(n)=a-18\times (n-1)\\\\a(2)=a-18(2-1)=a-18

Let n=3 :

a(n)=a-18\times (n-1)\\\\a(3)=a-18(3-1)=a-36

The sequence will be, a, (a-18), (a-36),.........

Thus, the an explicit formula for the arithmetic sequence will be, a(n)=a-18\times (n-1)

You might be interested in
Which of the following geometric objects could have it length measured
anastassius [24]

Answer:

You need to attach the image

Step-by-step explanation:

3 0
2 years ago
Solve the formula: V = 1/2 (bh) H for h
Semmy [17]
Times both sides b 2
2V=(bh)H
remember associative property
(ab)c=a(bc)
and
ab=ba
so
(bh)H=h(bH)

2V=h(bH)
divide both sides by bH
\frac{2V}{bH} =h
8 0
3 years ago
A city map uses a scale in which 2.5 centimeters represents 3 kilometers. The distance on the map between the post office and th
marishachu [46]

Answer:

10.8 kilometers

6 0
3 years ago
Will give Brainliest! if right!
Ilya [14]
<span>46, 37, 16, 24, 47, 23, 19, 31, 25

put in order</span>
16, 19, 23, 24, 25, 31,37, 46, 47

mean = 25

LOWER QUARTILE = (16+ 19+ 23+ 24) / 4 = 20.5

answer 
Lower IQR = 20.5
8 0
3 years ago
Read 2 more answers
Given: f(x) = 2x + 5, match the inputs with their outputs.
bekas [8.4K]
Yeah the answer is number 5
3 0
3 years ago
Other questions:
  • Solve this problem what is the answer x=4.7+8.3
    5·1 answer
  • Sam and Brett share £54 in the ratio of 5:4 how much does each person get
    12·1 answer
  • (4a - b)(2a - 3b) =<br><br>A 8a² + 3b²<br>B 8a² - 3b²<br>C 8a² - 10ab + 3b²<br>D 8a² - 14ab + 3b²
    13·1 answer
  • Area of a triangle with a base 6 feet and height 9 feet
    14·2 answers
  • How do I do this question
    15·1 answer
  • Help please...... ...
    13·1 answer
  • 4 more than a number is 24. Convert into an equation and find the number.
    12·1 answer
  • The rates of change, true or false​
    8·1 answer
  • Which is greater? X + -6 or X + -2<br>​
    12·2 answers
  • As the payroll manager for a particular company, your task is to complete the following weekly payroll record. The company pays
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!