Answer:
Since both terms are perfect squares, factor using the difference of squares formula,
a
^2
−
b
^2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
y
and
b
=
6
(
y
+
6
)
(
y
−
6
)
Answer:
3, 5, 7, 9, 11, .........
Step-by-step explanation:
Given
= n(n + 2) , then
S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3
S₂ = 2(2 + 2) = 2(4) = 8
S₃ = 3(3 + 2) = 3(5) = 15
Thus
a₂ = S₂ - S₁ = 8 - 3 = 5
a₃ = S₃ - S₂ = 15 - 8 = 7
The first 3 terms are 3, 5, 7
This is an AP with common difference d = 2, then
a₄ = a₃ + 2 = 7 + 2 = 9
a₅ = a₄ + 2 = 9 + 2 = 11
and so on
For this case, what you must do is pass all the averages to the same unit of measurement in order to make the comparison between the three batters.
We have then:
Sue = 0.426
Heidi = (12/15) = 0.8
Selena = (47.5 / 100) = 0.475
answer
the highest batting average was for Heidi with an average of 0.8
The correct answer is the 2nd choice because -1/6 is closer to 0 and the surface of the pool would be considered 0. -4/6 is farther away from 0 so it is less.