(4^p*4^1)^3 = 4^15
add the exponents
(4^(p+1))^3 = 4^15
power to the power means multiply
(4^3(p+1)) = 4^15
the bases are the same so the powers have to be the same
3(p+1)) = 15
divide by 3
p+1 =5
subtract 1
p=4
Eric is incorrect. p=4
Hi there!
Here are some examples for you:
Two one step equations:
6x = 36
y + 5 = 10
Two equations containing fractions:
1/2x = 4
3/4y + 1 = 8
One equation using the distributive property:
2(x + 5) = 3
One equation with a decimal:
2.5x + 5 = 10
One real world problem that is solved by an equation:
At the beginning, I had 5 cups of flour. I made a batch of cookies. Now, I have 3.5 cups of flour. How much flour did I use?
5 - x = 3.5
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Sifa needs to earn $244
Solution
400-156=244
Therefore, He needs to earn $244 more before his trip.
Hmmm... a geometric sequence MUST have a fixed common ratio. If it is changing, then the sequence you are looking at might not be a geometric sequence at all. We'd need to see an example to be sure.