Ask a New Question

Asked by Sammy

I need steps on how to complete this please i am so confused and lost. :(

Consider the infinite geometric series x e n=1 -4(1/3) n-1. In this image, the lower limit of the summation notation is "n=1".

a. Write the first four terms of the series.
b. Does the series diverge of converge?
c. If the series has a sum, find the sun.
10 years ago

Answers

Answered by Steve
If you mean the nth term is

-4 (1/3)^(n-1)

then clearly you have a GP where

a = -4
r = 1/3

The terms are

-4, -4/3, -4/9, ...

The sum is thus
a/(1-r) = -4/(2/3) = -6
10 years ago

Related Questions

What are the steps to complete the sequence of transformations to map a given quadrilateral onto a d... Complete the steps for the single variable linear equation below. 9x+5=10(x+3)-x 1.Solve for x... Complete steps a. through e. to determine which pair of equations form a system with one solution,... Complete all the steps below for this assignment. (10 points total) First, think of an issu... Fill in the steps to complete the square. x^2 -10x-12=0 x^2-10x-=12 x^2 -10x + = 12+ Complete the following steps to divide. 5/4 ➗ 5/8 = 5/4 ✖ 8/5 = ? Complete steps a. Through e. To determine which pair of equations form a system with one solution, n... Complete the steps: 4 9 ÷ 1 2 Rewrite the division problem as multiplication: Multiply the n... Complete the following steps to answer the Trent's fish tank can hold 48 liters of water. There are...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use