Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
Answer:
cost of tacos=$2
cost of soda=$1
Step-by-step explanation:
x=price of tacos
y=price of soda
3x+y=7 --> y=7-3x
4x+2y=10 --> y=5-2x
5-2x=7-3x
x=2
y=5-2(2)=1
Let x be the number.
Then;
6x-18=-42 (solve for x now)
6x=-42+18
6x=-24
x=-4
Therefore, this number would be -4.
Hope I helped :)
Answer:
5 and -6
Step-by-step explanation:
