The nth term of the sequence is 2n - 8
<h3>Equation of a function</h3>
The nth term of an arithmetic progression is expressed as;
Tn = a + (n - 1)d
where
a is the first term
d is the common difference
n is the number of terms
Given the following parameters
a = f(1)=−6
f(2) = −4
Determine the common difference
d = f(2) - f(1)
d = -4 - (-6)
d = -4 + 6
d = 2
Determine the nth term of the sequence
Tn = -6 + (n -1)(2)
Tn = -6+2n-2
Tn = 2n - 8
Hence the nth term of the sequence is 2n - 8
Learn more on nth term of an AP here: brainly.com/question/19296260
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5. 152 divided by 16 (16 ounces equal a pound) = 9.5lbs
Basically there are 3 addition properties and they are associative property, identity property, and commutative property.
Commutative property is just changing the order of the addends. Example: 26+19+34+21= 21+34+19+26
Identity Property is just adding a 0 to the number that doesnt change anything. Example: 26+19+34+21 +0 = 100
Associative property is just changing the grouping of the addends. Example: (26+19) + (34+21)
I know these properties may be complicated i know inhate them too haha but i hope i helped :) if you want you can search up the distributive property too but its with multiplication and addition combined and its harder but i think these are the 3 main properties.
Hope this helps!
Any decimal whole number can be written as a whole number multiplied by a power of 10. For example,
3 = 3 × 10⁰
100 = 1 × 10²
15,000 = 15 × 10³
The power of 10 that you need depends on how many trailing zeroes you want to remove.
A number with a decimal point can be written the same way, but the power of 10 is negative:
0.3 = 3 × 10⁻¹
0.01 = 1 × 10⁻²
12.345 = 12,345 × 10⁻³
You can employ this sort of manipulation when you're dividing two real numbers. You end up with the quotient of two whole number, and you just need to keep track of power of 10 you end up with.
For example, consider the fraction
1.23 / 0.456
Rewrite this as
(123 × 10⁻²) / (456 × 10⁻³) = 123/456 × 10¹
where we end up with 10¹ because 10⁻²/10⁻³ = 10⁻²⁻⁽⁻³⁾ = 10³⁻² = 10¹.
Now just compute the quotient 123/456 and multiply that result by 10, which amounts to shifting the decimal point one position to the right. You would end up with
123/456 ≈ 0.269737
so that
1.23 / 0.456 ≈ 2.69737
You're gonna get caught anyways, just come out. If you don't, figure out a way to undo it.
