Write an explicit formula for an , the nth term of the sequence 29, 19, 9, ....
1 answer:
Answer:
= 39 - 10n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
19 - 29 = 9 - 19 = - 10
This indicates the sequence is arithmetic with nth term ( expicit formula )
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = - 10 , then
= 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n
You might be interested in
ANSWER
The other zero is
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
We were also given that, one of the zeroes of the quadratic equation is
Let the other zero of the quadratic equation be
,then, we apply the midpoint formula to find the value of
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
We substitute to obtain,
We multiply through by 2 to get,
This implies that,
The other zero is
EXPLANATION
The axis of symmetry serves as the midpoint of the two zeroes.
We were given that the axis of symmetry of the quadratic equation is
We were also given that, one of the zeroes of the quadratic equation is
Let the other zero of the quadratic equation be
,then, we apply the midpoint formula to find the value of
Since it is the x-values of the intercepts that gives the solution, we use only the x-value part of the midpoint formula which is given by,
We substitute to obtain,
We multiply through by 2 to get,
This implies that,