This decimal does not represent a rational number because rational numbers are whole numbers, numbers that can be written as a fraction
If you would like to write each rate as a unit rate, you can do this using the following steps:
$2 ... 5 cans of a soup
$1 ... x cans of a soup = ?
2 * x = 5 * 1
2 * x = 5
x = 5 / 2
x = 2.5 cans of a soup per $1
$2 ... 5 cans of a soup
$x = ? ... 1 can of a soup
2 * 1 = 5 * x
2 = 5 * x
x = 2 / 5
x = $0.4 per 1 can of a soup
Answer:
Step-by-step explanation:
an = a1 * r^(n - 1)
a1 = first term = 5
r = -2
n = nth term of the sequence
so it starts with 5
second term is :
an = a1 * r^(n - 1)......for second term
a2 = 5 * -2^(2 - 1) =
a2 = 5 * -2^1
a2 = 5 * -2
a2 = -10
an = a1 * r^(n - 1)....looking for a3
a3 = 5 * -2^(3 - 1)
a3 = 5 * -2^2
a3 = 5 * 4
a3 = 20
an = a1 * r^(n - 1)....looking for a4
a4 = 5 * -2^(4 - 1)
a4 = 5 * -2^3
a4 = 5 * -8
a4 = - 40
an = a1 * r^(n - 1)...looking for a5
a5 = 5 * -2^(5 - 1)
a5 = 5 * -2^4
a5 = 5 * 16
a5 = 80
an = a1 * r^(n-1)...looking for a6
a6 = 5 * -2^(6 - 1)
a6 = 5 * -2^5
a6 = 5 * -32
a6 = -160
Answer:
Yes
Step-by-step explanation:

If we say u = √n, then:

This is a geometric series. Since |1/e| < 1, the series converges.
A 120 watt light bulb uses about 0.1 kilowatt of electricity per hour.if electricity costs $0.20 per kilowatt hour.
Let's solve how much does it cost to have a bulb on
for an hour.
=> 120 watt = 0.1 kilowatt per hour which costs 0.20 per kilowatt per
=> 0.1 kilowatt per hour * 0.20 = 0.02 dollars in an hour.