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2 years ago

Which aproximation is better for π 22/7 or 3.141592..... Explain.

1 answer:

3 0

The first option is better because it more accurate. The second option is a terminal number, meaning it goes on and on forever, which will be very difficult to use.

Hoped this helped.

~Bob Ross®

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I got the first two can you help me with the last one PLZ

Nat2105 [25]

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

$a_1 =6\\a_2 = 18\\a_3 = 54$

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

$r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3$

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

$a_n = a_{n-1} * r$

In case of given sequence,

$a_n = a_{n-1} * 3$

So to find the 5th term

$a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486$

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

$a_n = a_1 * r^{n-1}$

Putting the values of a_1 and r

$a_n = 6 * (3)^{n-1}$

Hence,

1. Geometric Sequence

2. $a_n = a_{n-1} * 3$

3. $a_n = 6 * (3)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#LearnwithBrainly

4 0

3 years ago

What differential equation is?

Blababa [14]

Answer:

In mathematics, a differential equation is an equation that relates one or more functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Dmitriy789 [7]

The systems of linear equations have been matched with their respective solutions as shown in the image attached below.

<h3>What is a system of linear equations?</h3>

A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

In this exercise, you're required to match the systems of linear equations with their respective solutions as shown in the image attached below.

Read more on linear equations here: brainly.com/question/2030026

#SPJ1

8 0

1 year ago

Can somebody help me find the perimeter of this figure?

lbvjy [14]

Answer: P = 64in,

Step-by-step explanation: P = 17 + 13 + 25 + 9

3 0

2 years ago

1. What is an equivalent expression for

ipn [44]

Answer:

i am so confused right now :)::):::)::):))

Step-by-step explanation:

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2 years ago