The first term, a, is 2. The common ratio, r, is 4. Thus,
a_(n+1) = 2(4)^(n).
Check: What's the first term? Let n=1. Then we get 2(4)^1, or 8. Is that correct? No.
Try this instead:
a_(n) = a_0*4^(n-1). Is this correct? Seeking the first term (n=1), does this formula produce 2? 2*4^0 = 2*1 = 2. YES.
The desired explicit formula is a_(n) = a_0*4^(n-1), where n begins at 1.
Answer:
Step-by-step explanation:
A) 5x = 3(x - 2.5)
-----------------------
B)
Distribute
5x = 3x - 7.5
Subtract 3x from both sides
2x = -7.5
Divde both sides by 2
x = -3.75
-----------------------
C)
5 * (-3.75) = 3(-3.75 - 2.5)
-18.75 = -18.75
D)
Tanya paid –$3.75 for each of 5 items
Tony paid –$6.25 for each of 3 items
There seems to be an error in the question since the cost of items is negative
Tony bought fewer items and paid less for each.
The product is 
Explanation:
The given expression is 
We need to determine the product of the given expression.
First, we shall simplify the given expression.
Thus, we have,


Expanding the expression, we have,

Now, we shall apply FOIL, we get,

Simplifying the terms, we have,

Multiplying, we get,

Adding the like terms, we get,

Thus, the product of the given expression is 
1 and 4 will be the expression that makes the equatio. true for all values of x to prove i have done it in the picture attached in this message
Answer:
72°
Step-by-step explanation:
The circle is divided into 5 parts.
A circle measures 360°.
360/5 = 72°
hope this helps!! p.s. i really need brainliest :)