The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

$S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}\\\\S_{10}=4\cdot \dfrac{(-\frac{1}{2})^{10}-1}{-\frac{1}{2}-1}=4\cdot \dfrac{(\frac{1}{1024}-1)}{(-\frac{3}{2})}\\\\=\dfrac{8}{3}\cdot \dfrac{1023}{1024}=\dfrac{341}{128}$

The sum is approximately 2.66.

4 0

3 years ago

I NEED THIS ANSWERED AS SOON AS POSSIBLE! How much material is needed to construct a triangular tent that is 6 feet wide, 4 feet

Elena-2011 [213]

To figure out this problem, you need to find the surface area of a triangular prism.

a=5ft

b=5ft

c=6ft

h=8ft

A= (a*h) + (b*h) + (c*h) + 1/2√-a⁴ + 2(a*b)² + 2(a*c) - b⁴ + 2(b*c) - c⁴

=152 square feet

5 0

3 years ago

ANSWER QUICK !!

Nonamiya [84]

507 - 30 = 477

477 / 0.4 = 1192.5

1192.4 / 8 = 149.0625 miles or 150 miles

i don't know if this is right cause the answer seems so absurd

7 0

3 years ago