dragonknight dragonknight

03-05-2017
Mathematics

contestada

what is 1-2+4-8+-a10 in evaluate series

Respuesta :

03-05-2017

This is a geometric sequence, the sum of which can always be expressed as:

s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=term number...

The common ratio is defined as the constant, r, which is the ratio of any term in relation to the previous term...in this case:

-2/1=4/-2=-8/4=r=-2 and a is obviously 1 so:

s(n)=(1-(-2)^n)/(1--2)

s(n)=(1-(-2)^n)/3 so the sum of the first 10 terms is:

s(10)(1-(-2)^10)/3

s(10)=-341

Answer Link

Otras preguntas

What do engineers spend up to 25 percent of their design process formulating and analyzing? the team that will work on the project if a material is malleable if

give me two reasons on why honesty is a good trait for students to become better citizens of the world. someone plss helpp plsss

Which list orders the numbers from least to greatest? –2.6, 5.1, 0.8, –2.16, 0.58 0.58, 0.8, –2.16, –2.6, 5.1 –2.16, –2.6, 0.8, 0.58, 5.1 –2.16, –2.6, 0.58, 0.8

Replace the noun with a direct object pronoun: lo (male singular), la (female singular), Los (male plural), las (female plural). Model: ¿Hiciste la tarea? = Sí,

0.5x + 0.25(x + 16) = 4 + 0.75x

Which equation has a graph that is a parabola with a vertex at (-1, -1)?

Identify the sentence which best embodies the theme of "Sonnet 30." A. When you love someone enough, you can change them. B. When love is given to easily, it be

Write a linear function f with the values f(−1)=8 and f(5)=6.

Ponte en el lugar del segundo enfermo , el que ha quedado vivo ¿que pensarias al darte cuenta de que ventana daba a una pared y de que el otro enfermo era cie

The amount of snowfall during the first 5 hours of a winter storm is modeled by the piecewise function shown. Which statement describes the snowfall? The amount