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
Answer:
Step-by-step explanation:
The given expression is
To factor this polynomial, we just need to extract the common factor. Or you can see as the greatest common factor.
What is the greatest common factor between 8 and 16?
16: 1, 2, 4, 8, 16.
8: 1, 2, 4, 8.
You can observe that the greatest common factor is 8, so we extract it from both numbers
Notice that we placed the GCM in the front as a product, if we don't do that, it would be completely wrong, because we can change the equivalence of the expression. Now, notice that each variable have different coefficients, that is because if you extract the GCM, you need to placed its quotients as coefficients.
Therefore, the factor of the polynomial is