<u>Given</u>:
The given geometric sequence is 128, 32, 8
We need to determine the next term of the geometric sequence.
<u>Common ratio:</u>
Since, it is given that the sequence is a geometric sequence, then the common ratio is given by
Thus, the common ratio is
<u>Next term:</u>
The next term of the sequence can be determined by multiplying the previous term with the common ratio.
Thus, we have;
Next term = 
= 2
Thus, the next term is 2.
Hence, the next term of the geometric sequence is 2.
The answer depends on what is meant by the "fourth term". By the binomial theorem, one answer could be
By symmetry, another could be
Answer
the probability is 0.08
Step-by-step explanation:
I used my massive huge smart brain to solve this
Answer:
<em>Solution; - 4 / t + 1</em>
Step-by-step explanation:
See procedure below;
( 12 - 4t ) / ( t^2 - 2t - 3 ) ⇒ Factor out common term - 4 in 12 - 4t,
- 4 * ( t - 3 ) / ( t^2 - 2t - 3 ) ⇒ Break bottom expression into groups,
- 4 * ( t - 3 ) / ( t^2 + t ) + ( - 3t - 3 ) ⇒ Factor out t from t^2 + t,
- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3t - 3 ) ⇒ Factor out - 3 from - 3t - 3,
- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3 * ( t + 1 ) ) ⇒ Factor out common term t + 1,
- 4 * ( t - 3 ) / ( t + 1 ) * ( t - 3 ) ⇒ Cancel out like term t - 3,
<em>Solution; - 4 / t + 1</em>
70t + 80t = 600
150t = 600 Simplify
t = 4 Divide
70(4) + 80(4) = 600 Check
4 hours
