ahartley6399 ahartley6399

24-08-2016
Mathematics

contestada

What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54 + … ?

Respuesta :

24-08-2016

Hello,
[tex] u_{1} =2\\ u_{2} =2*3\\ u_{3} =2*3^2\\ ... u_{8} =2*3^7\\ \sum_{i=0}^7\ 2*3^i\\ =2(1+3+3^2+...+3^7)\\ =2* \dfrac{3^8-1}{3-1}\\ =2* \dfrac{6560}{2} \\ =6560 [/tex]

Answer Link

Otras preguntas

what property was used as evidence to support seafloor spreading

Jervis sells $75,000 of its accounts receivable to Northern Bank in order to obtain necessary cash. Northern Bank charges a 5% factoring fee. What entry should

If the engine overheats, then the car will stall. If the car stalls, then we won't get to the concert on time. If the engine overheats, then we won't get to the

A cart loaded with bricks has a total mass of 17 kg and is pulled at constant speed by a rope. The rope is inclined at 25 degrees above the horizontal and the c

To promise for a cause means to be loyal to that cause.

if the result of increasing A by 300 of A is B, the A is what percent of B

PLEASE HELP Read this sentence: I explained that I'd missed the bus, then stumbled and nearly sprained my ankle, but it didn't matter; Randy was angry and admon

Beyonce's private jet can fly 1800 miles in 2 hours at a constant speed. Using d for distance in miles and t for number of hours which two equations represents

How did atomic theory develop and change?

Which term is used to describe a fact that has always been observed true but could at some future time not be observed as true.A. Hypothesis B. Theory C. Law