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:
40
Step-by-step explanation:
y = 4
z = 2
8y + 12 - 2z
8(4) + 12 - 2(2)
32 + 12 - 4
44 - 4
40
Answer:
5/-6
Step-by-step explanation
use rise/run to get 4-(-1)/-5-1 to get 5/-6
no se sabe
Step-by-step explanation:
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Answer: 56
Step-by-step explanation:
Since we are informed that Isaac’s dad built a shelf for his video games that is 42 inches wide and that each video game is 6/8 inches wide.
The number of video games that Isaac can fit on the shelf will be gotten by dividing the length of the shelf by the width of each video game. This will be:
= 42 ÷ 6/8
= 42 × 8/6
= 56
Therefore, Isaac can fit 56 video games on the shelf.