yego.me
💡 Stop wasting time. Read Youtube instead of watch. Download Chrome Extension

Using explicit formulas of geometric sequences | Mathematics I | High School Math | Khan Academy


less than 1m read
·Nov 11, 2024

The geometric sequence Asobi is defined by the formula, and so they say they tell us that the E term is going to be equal to 3 * -1/4 to the IUS 1 power.

So, given that, what is a sub5, the fifth term in the sequence?

So pause the video and try to figure out what is a subscript 5.

All right, well we can just use this formula. A sub five is going to be every time where I see an I, I replace it with a five.

Is going to be equal to 3 * -1/4 to the 5 - 1 power.

Well, that's equal to 3 * -1/4 to the 4th power.

Well, that's going to be equal to, let's see, we're raising it to an even power, so it's going to give us a positive value.

Since we're going to be multiplying the negative an even number of times, so it's going to be a positive value.

So it's going to be 3 * let's see, 1 to the 1/4 is 1.

The 4th power is just 1, and then 4 to the 4th power, let's see, 4 * 4 is 16.

So 4 * 4 is 4 * 4, so 16 * 16 is 256.

256, and once again, I know it's going to be positive because I'm multiplying a negative times itself four times, or I'm multiplying four negatives together.

So that's going to give me a positive value.

So I get three over 256, and we're done.

That's the fifth term in our sequence: positive 3 over 256.

More Articles

View All
What Lies Beneath London’s Liverpool Rail Station? | National Geographic
[Music] People are surprised about what lies beneath London, especially when they find human remains. The Liverpool Street Station is one of the most important for archaeology because we’re right in the heart of the ancient city here. The cemetery was in …
2018 Berkshire Hathaway Annual Meeting (Full Version)
[Applause] Hmm, good morning. [Applause] I’m Warren, he’s Charlie. Charlie does most things better than I do, but, well, this one’s a little tough. Charlie, maybe you can chew on that a while. Okay, at the formal meeting that will begin at 3:45, we will…
When to Launch Your Startup and When to Wait
I think this is the image founders have of the launch, which is it’s going to be like the launch, and it’s going to be like the Oscar ceremony or something, where there’s just going to be like hordes of people. And like you’re going to be treated like a c…
Zeros of polynomials: plotting zeros | Polynomial graphs | Algebra 2 | Khan Academy
We’re told we want to find the zeros of this polynomial, and they give us the polynomial right over here, and it’s in factored form. They say plot all the zeros or the x-intercepts of the polynomial in the interactive graph. This is a screenshot from Khan…
The Surest Way out of Misery | Arthur Schopenhauer
Arthur Schopenhauer is infamous for his pessimistic outlook on life. He saw life on Earth as a cosmic disaster and felt that the universe would have been a better place without it. Human existence, as a whole, he compared to a prison sentence. And he also…
Lecture 5 - Competition is for Losers (Peter Thiel)
All right, all right, good afternoon. Uh, today’s speaker is Peter Thiel. Peter was the founder of PayPal, Palantir, and Founders Fund, and has invested in, uh, most of the tech companies in Silicon Valley. And he’s going to talk about strategy and compet…