The 12th term of the geometric sequence would be -8,388,608.
Step-by-step explanation:
Given that,
The first term of geometric sequence is = a1 = 2
a2 = -8
a3 = 32
Now, the formula for nth term of a geometric sequence is 
So,
Now,
a = 2
a*r = -8
By putting the value of a, we get
2*r = -8
or
r = -4
For 12th term, the formula would be:
now, put the values of a and r:
a12 = 2 * (-4,194,304)
a12 = -8,388,608
Hence, the 12th term of the geometric sequence would be -8,388,608.
The solution to the systems if equation y = 4x - 5, y = 2x + 3 is (x, y) = (4, 11)
<h3>Equation</h3>
y = 4x - 5
y = 2x + 3
4x - 5 = 2x + 3
4x - 2x = 3 + 5
2x = 8
x = 8/2
x = 4
y = 4x - 5
= 4(4) - 5
= 16 - 5
y = 11
Therefore, the solution to the system of be equation is x = 4 and y = 11
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I think this is the answer
Two decimals that can round are 1.46 and 1.45
Answer:
B 5 cm
Step-by-step explanation:
The bottom leg of the shaded triangle is 1/2 of the length of the side, so is 3 cm. The vertical leg of the shaded triangle is the height of the pyramid, given as 4 cm.
The slant height is the hypotenuse of the shaded triangle, so can be found from your knowledge of the 3-4-5 triangle, or from the Pythagorean theorem.
If s is the slant height, then ...
s^2 = 3^2 + 4^2 = 9 +16 = 25
s = √25 = 5
The slant height is 5 cm.
