All categories

3 years ago

An arithmetic sequence is represented by the recursive formula

Mathematics

1 answer:

serg [7]3 years ago

6 0

The fifth term of the sequence is -15

<h3>Recursive functions</h3>

Given the following recursive functions

$a_1=13\\a^n=a^{n-1}- 7 .$

For the second term:

a2 = a1 - 7

a2 = 13 - 7

a2 = 6

For the third term:

a3 = a2 - 7

a3 = 6 - 7

a3 = -1

For the fourth term:

a4 = a3 - 7

a4 = -1 - 7

a4 = -8

For the fifth term:

a5 = a4 - 7

a5 = -8 - 7

a5 = -15

Hence the fifth term of the sequence is -15

Learn more on recursive function here: brainly.com/question/489759

You might be interested in

The local supermarket is planning to fit a recycling centre in its car park.

Wewaii [24]

1,000cm by 400cm
Just multiply the two number by 200
I hope this is right! And I’m sorry if it’s wrong

7 0

3 years ago

The arithmetic sequence a_ia i a, start subscript, i, end subscript is defined by the formula: a_1 = 15a 1 =15a, start subsc

daser333 [38]

Answer:

-1,512,390

Step-by-step explanation:

Given

a1 = 15

$a_i = a_{i-1} -7$

Let us generate the first three terms of the sequence

$a_2 = a_{2-1}-7\\a_2 = a_1 - 7\\a_2 = 15-7\\a_2 = 8$

For $a_3$

$a_3 = a_{3-1}-7\\a_3 = a_2 - 7\\a_3 = 8-7\\a_3 = 1$

Hence the first three terms ae 15, 8, 1...

This sequence forms an arithmetic progression with;

first term a = 15

common difference d = 8 - 15 = - -8 = -7

n is the number of terms = 660 (since we are looking for the sum of the first 660 terms)

Using the formula;

$S_n = \frac{n}{2}[2a + (n-1)d]\\$

Substitute the given values;

$S_{660} = \frac{660}{2}[2(15) + (660-1)(-7)]\\S_{660} = 330[30 + (659)(-7)]\\S_{660} = 330[30 -4613]\\S_{660} = 330[-4583]\\S_{660} = -1,512,390$

Hence the sum of the first 660 terms of the sequence is -1,512,390

6 0

3 years ago

Solve for x in the following equation 4×/3=4 x=12,x=28,x=3,x=16

KonstantinChe [14]

Answer:

x= 3

Step-by-step explanation:

mark me brainliest :)

8 0

4 years ago

Read 2 more answers

There are 45 questions on your math exam. You answered 8/10 of them correctly. How many questions did you answer correctly?

liraira [26]

Answer:

36 questions were correct.

Step-by-step explanation:

In order to find how many questions correct, you have to multiply it :

$\frac{8}{10} \times 45 = 36$

4 0

3 years ago

Read 2 more answers

Sumaya's smoothie store is planning to sell an extra-large size. the extra-large size will have three times the volume of the sm

forsale [732]

The coordinate pair that represents the volume and cost of the extra-large size is (24, 8).

A coordinate plane is a plane that can be used to represent the position of a point. The plane consists of x-axes and y-axes. The position of a point is referenced from the origin.

The small size of a pizza is represented by the coordinate pair (8, 4) ⇒ (volume, cost)

Since the volume of the extra-large size will have three times the volume of the small size, hence:

Volume of extra-large size = 8 * 3 = 24

The cost of an extra large is twice as much as the small size, hence:

Cost of extra large = 4 * 2 = 8

A coordinate plane is a graphing and outline machine for factors and lines. A vertical (y) axis and a horizontal (x) axis make up the coordinate plane. There are four quadrants inside the coordinate plane. The point at which these strains join is known as the starting place (0, zero).

Coordinates are written as (x, y) meaning the point on the x-axis is written first, followed by the point on the y-axis. a few children can be taught to keep in mind this with the phrase 'along the hall, up the stairs, that means that they must observe the x-axis first after which the y.

Learn more about coordinate plane here: brainly.com/question/13854649

#SPJ4

6 0

2 years ago