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:
See Explanation
Step-by-step explanation:
Answer:
b r u h
your question is incomplete. T^T
Answer:
The given equation 3x − 7 = 4 + 6 + 4x has one solution.
Step-by-step explanation:
Given : Equation 3x − 7 = 4 + 6 + 4x
We have to find the number of solutions of the given equation.
Consider the given equation 3x − 7 = 4 + 6 + 4x
Simplify, we have,
3x − 7 = 10 + 4x
Now subtract 3x both side, we hvae,
-7 = 10 + 4x - 3x
Simplify, we have,
- 7 = 10 + x
Subtract 10 both side, we have,
-7 - 10 = x
x = - 17
Thus, The given equation 3x − 7 = 4 + 6 + 4x has one solution.
