The formula of geometric sequence is expressed in the following manner:
an = a1 * r^(n-1) where r is the ratio and n is an integer.
Substituting, to find r
358.80 = <span>14 * r^(8)
r is equal to 1.5
hence,
</span><span>a19 = 14* 1.5^(19-1)
</span>a19 <span> ≈ 20,690.</span>
Think of this as a proportion: 2.4 is to 100, as 34 is to L ("L" for "Long piece.")
Cross multiply to get 2.4 L = 3400, then divide both sides by 2.4 to be left with
L = 3400/2.4, so
L = 1416.666...
So the longer piece of wood is 1,416.66... inches long.
Hope this helps!!:)
Hi there!
I can see why you've posted a question like this here - For adding, subtracting, multiplying, or dividing fractions by whole numbers can be difficult to come out with a precise answer, so let me make it look easier for you!
So, the steps are:
Smush the 2 (whole number) and the 2 (the numerator of the fraction) together on top so its (2)(2) over 6. I can show you what I mean, if you'd like.
This is what it should look like.
Now, what is 2 times 2? You can use a calculator for this part.

Now, we can get to the last part, my favorite one!
Simplify
down to
.
How did we do it? EASY!
See what number does evenly into both numerators and denominators. In this case, 2 goes into 4 twice, and 2 goes into 6 three times, so we're left with our beautiful answer
.
That wasn't so bad, was it? You can use this as a guide for figuring out math problems like these, in case you're stuck again. But just in case, message me if you need anymore help! :D
Use this equation :
al=2(pi)rh