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]
3 years ago
15

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

Mathematics
2 answers:
drek231 [11]3 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]3 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
Determine whether 18-3(2p-+4)-3p
Sunny_sXe [5.5K]

Answer:

3(2-3p) Welp that all i got I think this is it T^T

4 0
3 years ago
(03.01 LC)
vampirchik [111]

Answer:

√7 units, √98 units

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7

a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.

4 0
3 years ago
Read 2 more answers
there are 25 pigs and chickens on a farm. if there are 90 legs counted altogether, then how many of each animal are there?
e-lub [12.9K]

Answer:

115

Step-by-step explanation:

25+90

7 0
3 years ago
Read 2 more answers
HELP ASAP!!!!<br> WILL GIVE BRAINLIEST<br><br> Factor 14f + 21 using the GCF
Mkey [24]

Answer:

7

Step-by-step explanation:

5 0
3 years ago
Simplify (2sq root 5-4) (3sq root 5-2)
tatuchka [14]

Answer:

2√5-4(3√5-2)

6√25-4√5-12√5+8

6(5)-16√5+8

30+8-16√5

38-16√5

7 0
3 years ago
Other questions:
  • The total surface area of a square based prism is 96
    10·1 answer
  • Write a related subtraction fact for 7 + 3 = 10
    6·2 answers
  • The radius of a circle is 4 feet. What is the area of a sector bounded by a 72° arc?
    15·1 answer
  • How do you do solve one step inequalities
    11·1 answer
  • An auditorium has 28 seats in the front row. Each row behind the front has 3 more seats than the row directly in front of it. Ho
    13·1 answer
  • Which graph represents all the real numbers, x, where x ≤ 3?
    15·1 answer
  • Divide \ 4x^ 4 +8x^ 3 -10x^ 2 +4x-6\ 10x^ 2 +4x-6)by(2x^ 2 +4x-6) .
    10·1 answer
  • How many solutions does this equation have?<br> 8−2(n+3)=n+7−3n
    15·1 answer
  • 3 (x+2)+9&lt;6(x-3) solve the inequality and write the solution using interval notation​
    10·1 answer
  • QUAMERE SUTHERLAND
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!