All categories

3 years ago

Find the rule and nth term for the sequence 4, 7, 10, 13, 16

1 answer:

6 0

7-4=3
10-7=3
13-10=3
we can see that this is an arithmetic sequence with a difference of 3
the nth term=the first term +(n-1) times the difference
so a(n)=4+3(n-1)

You might be interested in

What is the average rate of change in f(x) over the interval [4,13]?

mestny [16]

we know that

Average Rate of Change. is the change in the y-value divided by the change in the x-value for two distinct points on the graph

$A=\frac{(f(b)-f(a))}{(b-a)}$

in this problem

$a=4\\ b=13\\ f(a)=f(4)=8\\ f(b)=f(13)=11$

substitute the values in the formula above

$A=\frac{(11-8)}{(13-4)} \\ \\ A=\frac{3}{9}$

Divide by $3$ both numerator and denominator

$A=\frac{1}{3}$

therefore

the answer is

$\frac{1}{3}$

8 0

3 years ago

Read 2 more answers

How many solutions does the equation 9x +3=9x + 5 have?

Sphinxa [80]

Answer:

none

Step-by-step explanation:

Because X has the same coefficient on both sides but a different value is being added to it, there cannot be an solution.

9x+3=9x+5

-9x -5

-2=0, which doesnt work so theres no solution

8 0

3 years ago

Read 2 more answers

A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.24?

Evgen [1.6K]

Answer:

it would be a 4% sales tax

Step-by-step explanation:

6.24

-6.00

.24/6 (amount of dollars divided by the total tax)

.04 or 4%

5 0

2 years ago

How to do HELP me please

kipiarov [429]

It will chime 11 times during 8:15 a.m.-1:35 p.m.

3 0

3 years ago

The lateral area of a cone is 555 \pi cm^2 and the radius is 15.1 what is the slant height?

pishuonlain [190]

We know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm

the answer is
the slant height is 36.75 cm

7 0

3 years ago