The first one is D and the second is A
Answer:
Step-by-step explanation:
The numbers don’t increase by a constant amount, so this is not an arithmetic sequence.
It appears to be a <em>geometric sequence</em>.
The <em>general formula</em> for each term in a geometric sequence is
aₙ = a₁rⁿ⁻¹
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Calculate the value of r
You can calculate the r-value by dividing any two consecutive terms in the sequence.
rₙ = aₙ/aₙ₋₁
a₂/a₁ = 4.5/3 = 1.5
a₃/a₂ = 6.75/4.5 = 1.5
a₄/a₃ = 10.125/6.75 = 1.5
a₅/a₄ = 15.1875/10.125 = 1.5
r = 1.5
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Determine the formula for the nth term
a₁ = 3; r = 1.5 Substitute the values
aₙ = 3(1.5)ⁿ⁻¹ Write the equation as a function of x
So, the smaller the exponent the smaller the number. So one that is -9 is very small.
We first want to compare the numbers through the exponents.
-9 is the lowest exponent, meaning it is the smallest number, so any answer that doesn't start with 7×10^-9 is incorrect
Meaning we can cross out answer choices A and B
-7 is the next to smallest exponent, but Choices C and D both have 4×10^-7 as the second, so we cannot out anymore answers.
After that the final two numbers each have the same exponent, so then we look at the actual numbers.
Which are 1 and 2, they are each risen to the 4th power, meaning they have 4 zero's after the number.
So the two numbers we have are 10000 and 20000
10000 is less than 20000, so that means 1×10^4 comes next in our ordering of least to greatest, leaving 2×10^4 as the greatest
So we order them properly from least to greatest, and our chart is:
7×10^-9 < 4×10^-7 < 1×10^4 < 2×10^4
This is the same as answer choice C, so C is your answer! Hopefully this all makes sense!
Answer:
3 Ib = 48 oz
16,000 lb = 8T
Step-by-step explanation:
so if you want to get 48 multiply 3 by 16
And if you want to get 8 divide 16,000 by 2000
Answer:
x+y = 36
x-y = 10
Add these two equations to get
2x = 46
x = 23
Sub x=23 into either equation, I like the first.
23 + y = 36
y = 13
23,13 are the pair.