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:
12/16, 6/8, 15/20, 24/32
Step-by-step explanation:
Because to find the equivalents, you have to multiply/ divide the numerator and the denominator with the same number.
Answer:
D.
Step-by-step explanation:
Given
Required
Determine its equivalent
<em>From the list of given options, the correct answer is</em>
This is shown as follows;
Multiply both sides by
Open Bracket
Subtract x from both sides
Multiply both sides by -1
Reorder
<em>Hence, the correct option is D</em>
The denominator is 20
5X4= 20