Well ummm for example .9746 the 9 is in the tenths place the 7 is in the hundredths place the 4 is in the thousandths place the 6 is in the ten thousandths place

3 0

3 years ago

Find the value of a1 for an infinite geometric series with S=12 and r=1/6

blondinia [14]

$S_n=a(1+r+\cdots+r^{n-1}+r^n)$
$rS_n=a(r+r^2+\cdots+r^n+r^{n+1})$
$(1-r)S_n=a(1-r^{n+1})$
$S_n=a\dfrac{1-r^{n+1}}{1-r}$

When $|r|$ , we have

$\displaystyle\lim_{n\to\infty}S_n=\dfrac a{1-r}$

as is the case here. Since $S=\lim\limits_{n\to\infty}S_n=12$ and $r=\dfrac16$ are given, we can find the first term $a$ immediately:

$12=\dfrac a{1-\frac16}\implies12=\dfrac65a\implies a=10$

6 0

3 years ago

How do I factor this trinomial? It is the question that reads as -16r^3 - 6r^2 - 18r

kirza4 [7]

<span>-16r^3 - 6r^2 - 18r = -2r(8r^2 + 3r + 9)

hope that helps</span>

5 0

3 years ago

The richardson family is out to dinner at their favorite restaurant. The bill comes to $32.00. How much money should they leave

goldfiish [28.3K]

$36.40
$32 for the bill an $6.40 for the 20% tip

8 0

4 years ago

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