MATHEMATICS MIDDLE SCHOOL

The first five terms of a sequence are 7,10, 13 , 16 and 19. which of the following functions define this sequence for all integers n>or equal to 1?A. f[n]= 3n=7
B.f[n]= 4+3n
C. f[n]= 4[3]^n-1
D.f[n]=7[3]^n-1

Answers

Answer 1

Answer:

The correct option is D) f(n) = 4 + 3n.

Step-by-step explanation:

Given :

Arithmetic Sequence -- 7,10,13,16,19

Solution :

The explicit formula of arithmetic sequence is given by,

$T_n = a+(n-1)d$ ------- (1)

where, common difference (d) = 10 - 7 = 3

first term (a) = 7

So from equation (1),

$T_n = 7+(n-1)3 = 7+3n-3$

$T_n = 4 + 3n$

Therefore, the correct option is D) f(n) = 4 + 3n.

For more information, refer the link given below

brainly.com/question/15412619?referrer=searchResults

Answer 2

Answer:

Answer:

Option B is correct

For $n\geq 1$ , the function for the given sequence is defined as; $f[n] = 4 +3n$

Step-by-step explanation:

An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.

An explicit formula for this arithmetic sequence given by;

$a_n = a+(n-1)d$ where a represents first term

Since, the given sequences; 7 , 10 , 13 , 16 and 19

⇒ common difference(d) = 3 and a = 7

Since.

10 -7 = 3

13- 10 = 3 ....

The function which defined this sequence is;

$f[n]=a_n = 7 +(n-1)(3)$

using distributive property:

$f[n] = 7 + 3n -3$

$f[n] = 4 +3n$

therefore, the function for the given sequence for all integers $n\geq 1$ is; $f[n] = 4 +3n$

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Answers

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Answer is 22 units^2

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Answers

Well you can find out by the question it's pretty easy....

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The blank of a two dimensional figure can be any side?

Answers

The "Length" of a two-dimensional figure can be any side.

What is the length?

length is the measure of some distance from one end to another end.

The side is a distance between two vertexes joined with another part of the dimension.

We can measure that distance which means it could be a length.

Thus, The blank could be; Length of a two-dimensional figure can be any side.

Learn more about length;

brainly.com/question/8552546

#SPJ3

Answer:

yea

Step-by-step explanation:

from 40 bulbs tested by a quality controller, 3 are faulty calculate the expected number of faulty bulbs in a box of 500

Answers

Out of 40 bulbs, 3 were faulty.

3/40 were faulty

out of 500 bulbs, 'x' were faulty.

x/500 were faulty

$(3)/(40) = (x)/(500)$
cross multiply
40x=1500
Divide both sides by 40
x=37.5
Since you can't have .5 of a bulb, lets round up to 38
Answer=38 bulbs

Can someone tell me how to get this answer?