# Explicit arithmetic formula for the sequence 16,13,10,7,4

## Related Questions

f(x) = P(1 + r)^x

Now we can solve.

Given:

P = 2000

r = -0.06

f(x) = 2000 (1 - 0.06)^x

= 2000 (0.94)^x

2000 (0.94)¹² =

2000 (0.476) =

The answer is

**951.8 square kilometers.**

**Answer:**

D

**Step-by-step explanation:**

She showed that f(n) - f(n - 1) was a constant difference.

The definition of an arithmetic sequence is** the difference between consecutive terms is constant, aka common difference.**

Now, Arithmetic difference, d = -88-(-99) or -66-(-88) which is 11 or 22. As they are not equal, it is not a Arithmetic.

So, it's neither an Arithmetic nor a Geometric.

**Option B is your answer!**

Hope this helps!

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

b: neither arithmetic nor geometric

What is the common ratio for the geometric sequence? 54, 36, 24, 16...

**So, your final answer is 2/3**

Hope this helps!

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

What is the common difference d of the sequence? 9, −8, −25, −42, −59, ... d =

**So, your final answer is -17**

Hope this helps!

What is the explicit formula for the sequence? 6, 5, 4, 3, 2, . . .

What is the next 3 terms in the following sequence, 5.5,6.7,7.9,9.1

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

What are the next 3 terms in the following sequence? 2.3,6.6,10.9

4,-24,144,-864,... whats the 8th term in the sequence?

If so, that means that each term is multiplied by negative 6.

So, 4 times -6 = -24. Then -24 x -6 = 144. And so on.

So -864 x -6 = 5,184. (5th term)

5,184 x -6 = -31,104. (6th term)

-31,104 x -6 = 186,624. (7th term)

186,624 x -6 = -1,119,744. (8th term)

I think, and hope, that it is correct. Hope this helps! :)

Explain how using the formula for simple interest can help you in solving word problems.

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

What is the explicit rule for this geometric sequence? 4,4/5,4/25,4/125,…

f(n) = 4/5^n

Write the explicit formula for the sequence 3,5,7,9,11

5+2=7

7+2=9

9+2=11

.

.

.

so d=2

-------------

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

a(n)=3+(n-1)2

a(n)=3+2n-2=2n+1

What is the sum of the first 28 terms of this arithmetic sequence? 69,75,81,87,93,99

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

What is an equation that models the sequence 400, 200, 100, 50, ?

400 / 2 = 200

200 / 2 = 100

100 / 2 = 50

50 / 2 = 25

25 / 2 = 12.5

D(n)=3(−2)^ n−1 What is the 4th term in the sequence?

3.(-8)=-24

**Answer:**

Multiply each side by negative one over five , add 25 to each side.

**Step-by-step explanation:**

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

f(n+1) and first as

f(n)

for first sequance we get:

25 = -5 -5 which is not true.

second sequance:

50 = 10 -5 again not true.

third sequance

-7 = -2 - 5 which is true. If we use f(n+1) to be -12 and f(n) to be -7 again we will see that formula describes this third sequance.

last one if we check for just in case we will see that it doesn't fallow the formula.

Since x² = y is x = √y, then:

A = s²

s² = √A

√A is square root of A.

a 1 = 27 ft, a 2 = 18 ft, a 3 = 12 ft.

a 2 = a 1 * q

q = a 2 / a 1 = 18 / 27 = 2 / 3

a 4 = a 3 * q = 12 * 2 / 3 =

**8 ft**

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

Let's calculate the common difference (c):

c = f(n + 1) - f(n)

9, –1, –11, –21, …

-1 - 9 = -10

-11 - (-1) = -11 + 1 = -10

-21 - (-11) = -21 + 11 = -10

Q2. The answer is c)3, –2, –7, –12, ...

f(n + 1) = f(n) – 5

f(n + 1) - f(n) = -5

c = f(n + 1) - f(n)

So, the common difference is: c = -5

Let's check all choices:

a) c = -5 - (-1) = -5 + 1 = -4 INCORRECT

b) c = 10 - 2 = 8 INCORRECT

c) c = -2 - (-3) = -5

c = -7 - (-2) = -5

c = -12 - (-7) = -5 CORRECT

d) c = 9 - 4 = 5 INCORRECT

Find the sum of the first 50 terms of the sequence below. An = 3n + 2

An+1 - An = 3n+5 -3n-2=3

An is aa arithmetic sequence

its sum is given by:

A0 +A1 +A2 + . . . + An = N(Ao + An) /2

where N = n-0=n

S50= A0 +A1 +A2 + . . . + A50 = 50(Ao + A50) /2

S50 = 50(Ao + A50) /2

Ao=2, A50=150+2=152

S50= 50(Ao + A50) /2

finally

S50=25*154=3850

**Answer: the last option of the list. The graph will show exponential decay**

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

Multiply each side by -8:

Subtract 35 from each side:

1 1 1 = 1*(1+1)/2

2 3 3 = 2(2+1)/2

3 6 6 = 3(3+1)/2

4 10 10 = 4(4+1)/2

5 15 15= 5(5+1)/2

**Call n the position in the sequence, then the triangular number is: n(n+1)/2**

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.

What is the next term of the following sequence? 20, 10, 5, 2 1/2, ... 1 1/2 1 1/4 3/4

10\2=5

5\2=2.5

2.5\2=1.25

K is an example of _____. a variable an equation a constant a formula

a variable, i got it correct on a test

TopAcademicTutors.Com

Expert Assignment Help for students who have pending assignments.

For 10$ a page, you can get your written essay.