Answer:
C. The 6th term is positive/negative 80
Step-by-step explanation:
Given
Geometric Progression


Required

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;
To solve the common ratio;
Divide the 7th term by the 5th term; This gives

Divide the numerator and the denominator of the fraction by 40
----- equation 1
Recall that the formula of a GP is

Where n is the nth term
So,


Substitute the above expression in equation 1
becomes


Square root both sides

r = ±
Next, is to solve for the first term;
Using 
By substituting 160 for T5 and ±
for r;
We get


Multiply through by 16



Now, we can easily solve for the 6th term
Recall that the formula of a GP is

Here, n = 6;



r = ±
So,
or 
or 
or 
±80
Hence, the 6th term is positive/negative 80
Answer:
ррооо
Step-by-step explanation:
Нажмите на фрагмент, чтобы вставить его в текстовое поле.
If you use the same technique from the first question, you can do:
5x+2=3x+42
2x=40
x=20
For the rest of the questions, please use the same technique if they are vertical because I can't solve all of the questions for you sorry.
Algebraic expression: 100 = 25 + n
Answer: n = 75
Answer: Not too sure. Sorry.
Step-by-step explanation: