2/5 divided by 8/15 in its simplest form

ioda

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

<h3>What is a sequence?</h3>

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
The length of the series is defined as the number of items (which could be infinite).
Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

Know more about sequences here:

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7 0

2 years ago

Make a conjecture about the next item in each sequence <br><br> -2, 1 , -1/2, 1/4, -1/8

Georgia [21]

Answer:

-2,2 -1/3 1/4 -1/9

4 0

3 years ago

Read 2 more answers

Find the volume of the cone.

8_murik_8 [283]

Answer:

$V=471\ \text{units}^3$

Step-by-step explanation:

Given that,

Radius of the cone, r = 5 units

Height of the cone, h = 6 units

We need to find the volume of the cone. The formula for the volume of the cone is given by :

$V=\pi r^2 h$

Substitute all the values,

$V=3.14\times 5^2\times 6\\\\V=471\ \text{units}^3$

So, the volume of the cone is $471\ \text{units}^3$ .

4 0

3 years ago

A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3296 tickets overall. It has s

rodikova [14]

Answer:

1022 of $10 tickets, 1326 of $20 tickets, 948 of VIP $30 tickets

Step-by-step explanation:

We can set-up a system of equations to find the number of each kind of ticket. We know there are the cheap tickets c, the medium tickets m and the VIP tickets v. Since 3296 tickets were purchased, then c+m+v=3296.

We also know that 304 more medium priced tickets have been sold then cheap tickets. We write 304+c=m.

Lastly, we know that a total of $65,180 was sold. We write 10c+20m+30v=65,180.

We will solve by substituting one equation into the other. We substitute m=304+c into c+m+v=3296. Simplify and isolate the variable v.

c+m+v=3296

c+(304+c)+v=3296

c+304+c+v=3296

2c+304-304+v=3296-304

2c-2c+v=2992-2c

v=2992-2c

We will now substitute this into the remaining equation with our first substitution.

10c+20m+30v=65,180

10c+20(304+c)+30(2992-2c)=65,180

10c+6080+20c+89760-60c=65180

-30c+95840=65180

-30c+95840-95840=65180-95840

-30c=-30660

c=1022

This means 1,022 tickets purchased were $10 tickets. We substitute this equation back into m=304+c to find m.

m=304+1022

m=1326

This means 1,326 were $20 tickets.

Lastly we know 948 VIP tickets were bought because 1022+1326+948=3296

7 0

3 years ago

Write an algebraic expression to represent each verbal expression. 5 times the sum of a number and 1

11111nata11111 [884]

Answer: 5(x+1)

Step-by-step explanation:

Let the number be x

Sum of number and 1 is x+1

5 times the sum is 5(x+1)

3 0

3 years ago