Answer: OPTION C.
Step-by-step explanation:
According to the Quotient of powers Property, if you divide two numbers whose base is the same, you must rewrite the base and subtract the exponents. Observe:
Notice that "a" is the base and "m" and "n" are the exponents.
Therefore, knowing this property, you can solve the exercise.
Given the following expression:
You can notice that the base 3 is in the numerator and in the denominator, then you must apply the Quotient of powers Property and subtract the exponents.
You get that the result is:
Answer:
= 5n
Step-by-step explanation:
There is a common difference d between consecutive terms
d = 10 - 5 = 15 - 10 = 20 - 15 = 25 - 20 = 30 - 25 = 5
This indicates the sequence is arithmetic with explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 5 , then
= 5 + 5(n - 1) = 5 + 5n - 5 = 5n