Answer:
d = 
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 16 , then
- 12 + 8d = 16 ( add 12 to both sides )
8d = 28 ( divide both sides by 8 )
d = 
=
Answer:
3.124 kilometers
Step-by-step explanation:
Jillian bikes a total of 30 miles in 5 days, then we divide 30 and 5 to get 6. Jillian bikes 6 miles per day.
Answer:
A: an = 6n - 9
Step-by-step explanation:
third term in an arithmetic sequence is 9
a3 = a + 2d
a + 2d = 9
the fifth term is 21
a5 = a + 4d
a + 4d = 21
a + 2d = 9 (1)
a + 4d = 21 (2)
Subtract (1) from (2) to eliminate a
4d - 2d = 21 - 9
2d = 12
d = 12/2
d = 6
Substitute d = 6 into (1)
a + 2d = 9 (1)
a + 2(6) = 9
a + 12 = 9
a = 9 - 12
a = -3
nth term of this sequence = a + (n - 1)d
= -3 + (n - 1)6
= -3 + 6n - 6
= 6n - 9
an = 6n - 9
Answer:
1782 tiles
Step-by-step explanation:
Given that:
Dimension fo floor = 132 x 216 inches
Area of floor = 132 * 216 = 28512 in²
Dimension of tiles = 4 * 4 inches
Area of tiles = 4 * 4 = 16 in²
Number of tiles needed to cover floor :
Area of floor / Area of tiles
28512 in² / 16 in²
= 1782 tiles
