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:
3
Step-by-step explanation:
The number is 3.
Step-by-step explanation:
Finding the Number
To find the number, we have to translate the problem above to an algebraic equation. The algebraic equation refers to the statement of the equality of two algebraic expressions.
Equation:
Let "x" be the number.
4 is divided by a number - 4/x
3 divided by the number decreased by 2 - 3/x-2
"4 is divided by a number is equal to 3 divided by the number decreased by 2"
4/x = 3/x-2
Solution:
Cross multiply.
4/x = 3/x-2
x(3) = 4(x-2)
3x = 4x - 8
(Combine similar terms.)
3x - 4x = - 8
- x = - 8
- x/- 1 = - 8/- 1
x = 8
Final Answer:
8
Checking:
4/x = 3/x-2
4/8 = 3/8-2
1/2 = 3/6
1/2 = 1/2 ✔
Answer:
45 i think
Step-by-step explanation:
$3.50 being the amount the item <em>t</em> costs and <em>t</em> being the number of this item.