Which expression represents the series 1+5+25+125+625?

Answers

Answer 1

Answer: it is a geometric sequence
an=a1(r)^(n-1)
a1=first term
r=common ratio
n=which term
first term is 1
common ratio is 5
an=1(5)^(n-1)

that is the equatin/formulf for the nth term

if you want a summation formula of the sequence to the nth term
Sn= $(a1(1-r^(n)))/(1-r)$
in this case
Sn= $(1(1-5^(n)))/(1-5)$ or
Sn= $(1-5^(n))/(-4)$
so in this case
up to 5th term

S5= $(1-5^(5))/(-4)$
S5= $(1-3125)/(-4)$
S5= $(-3124)/(-4)$
S5=781

anyway
$a_(n)=(5)^(n-1)$ is the nth term
and
Sn= $(1-5^(n))/(-4)$ is the summation up to the nth term

Answer 2

Answer: 1(5)^0 + 1(5)^1 + 1(5)^2...

The expression representing the series would be

f(x) = 5^(x-1)

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How do i solve divide 5/8 by 50%
Matthew and lizbeth are college students. Matthew has $87 in his bank account. then he spends $112 on books for school. spends $130 on books she will have greater debt than Matthew. show are explain why lizbeth thinking is correct or incorrect. Enter your work or explanation in the box provided

The quantities x and y are proportional. If x is 3 and y is 9, find the constant of proportionality (r) in the equation y = rx. A) 1 B) 2 C) 3 D) 4

Answers

Answer:

Step-by-step explanation:

given that x and y are proportional then the equation relating them is

y = rx ← r is the constant of proportionality

to find r, substitute x = 3 and y = 9 into the equation

9 = 3r ( divide both sides by 3 )

3 = r

the constant of proportionality is r = 3

What does Fern do that proves she can hear the animals talk? A.
She reacts to what the animals say.

B.
She makes comments to the animals.

C.
She asks the animals questions.

D.
She tells Lurvy about the animals talking.

Answers

A is the answer about what she tellls lurby

Which algebraic expression represents the phrase “the quotient of negative eight and the sum of a number and three”?

Answers

Quotient: division

Negative 8: -8

Sum of a number: let the unknown number be represented by x

And Three: x + 3

So, the quotient (division) of -8 and x+3

-8 ÷ x + 3

Carlos and Maria drove a total of 197 miles in 3.8 hours. Carlos drive the first part of the trip and averaged 55 miles per hour. Maria drove the remainder of the trip and averaged 47 miles per hour. For approximately how many hours did Maria drive?

Answers

c=carlos's hour, m=maria
55c+47m=197
c+m=3.8
c=-m+3.8

55(-m+3.8)+47m=197
-55m+209+47m=197
-8m=-12
m=1.5

maria drove 1.5hr or 1 and a half hr.

Hello !

Maria : x $55y+47x=197 \n x+y=3.8 \n y=3.8-x$
Carlos : y

$55(-x+3.8)+47x=197 \n -55x+209+47x=197 \n 209-197=55x-47x \n 12=8x \n12/8=x \n 1.5=x \n \n Maria drove 1.5 hour or 1 hour 30 minute.$

D + 8/9 = -4, what does d equal?