Answer:
Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;
where is the first term and r is the common ratio;
In this case;
r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;
Thus, the nth term is
Answer:
<h2>181.33</h2>
Step-by-step explanation:
Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.
Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.
Base Area = Length * Breadth
Base Area = AB * BC
Base Area = 8*4 = 32
If , and PB = 17, then the height of the pyramid is PB = 17.
Volume of the pyramid = 1/3 * 32 * 17
Volume of the pyramid = 1/3 * 544
Volume of the rectangular based pyramid = 181.33
Formula of the sum of the 1st nth term in a Geometric Progression:
Sum = a₁(1-rⁿ)/(1-r), where a₁ = 1st term, r = common ratio and n= rank nth of term (r≠1)
Sum = (-11)[1-(-5⁸)] /[(1-(-5)]
Sum = (-11)(1- 390625)/(6)
SUM = 716,144
Answer:
X = -2
y = 2
Step-by-step explanation:
Substitute y=x + 4 in the second equation to find x
x+4 = 2x + 6
subtract x from both sides
4 = x + 6
subtract 6 from both sides
-2 = x
put -2 in for x in the first equation
y= 2