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:
(a) i and ii: 2b-2 = b+b-2
(b) i and iii: c+d = d+c
(c) ii and iii: a + 2b - 1 = a+b-1+b
(d) i and iii: x+(y-z) = x-(z-y)
(e) ii and iii: (a-1)² = (1-a)²
(f) i and ii: 3a-b-1-1 = 3a+b-2-2b
Step-by-step explanation:
let me know if you require detailed explanation for any of them.
Answer:
2 yay
Step-by-step explanation:
Answer: kinda forgot high school math lol but I’m pretty sure its (0,0)
Step-by-step explanation:
Answer:
28.57142857
%
Step-by-step explanation:
Convert the fraction to a decimal, then multiply by 100
.
28.57142857
%