The 6th term of the geometric sequence is of -4096.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which 
is the first term.
For this problem, we have that:
- The first term is
.
, hence the common ratio is q = -4.
Thus the 6th term of the sequence is found as follows:
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Answer:
Step-by-step explanation:
Hint: 1- 2sin²x = Cos 2x
LHS = 1 - 2Sin² (π/4 - Ф/2)
= Cos 2 *(π/4 - Ф/2)
= Cos 2*π/4 - 2*Ф/2
= Cos π/2 - Ф
= Sin Ф = RHS
The solution to the linear equation is 2
<h3>How to solve the
linear equation?</h3>
The linear equation is given as:
3x - 1 upon 5 = x - 1 upon 3
Rewrite properly as
(3x - 1)/5 = (x - 1)/3
Cross multiply
9x - 3 = 5x- 5
Evaluate the like terms
4x = 8
Divide by 4
x = 2
Hence, the solution to the linear equation is 2
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Answer:
11 1/12
Step-by-step explanation:
6 1/3 = 19/3
7 1/4 = 29/4
2 1/2 = 5/2
19/3 + 29/4 - 5/2
We must find the LCM of 3, 4, and 2. This happens to be 12
3*4 = 12
4*3 = 12
2*6 = 12
Multiply each fraction by the factor that'll get it to 12.
19/3 * 4/4 = 76/12
29/4 * 3/3 = 87/12
5/2 * 6/6 = 30/12
Now go through the problem
76/12 + 87/12 - 30/12
76 + 87 = 163
163/12 - 30/12
163 - 30 = 133
133/12
Simplify
133/12 = 11.0833... or 11 1/12
Hope this helps.
