# calculus

posted by .

Consider the infinite series of the form:
(+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)...

(A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y.
(B) Can you choose the signs to make the series diverge?
(C) Can you choose the signs to make the series sum to 3.5?
(D)Can you choose the signs to make the series sum to 2.25?
(E) Can you choose the signs to make the series sum to (159/36)?

For (C), can you make 3 and 1 both positive and then the rest of the series negative, which would be a negative geometric series? A little shaky on that.

And for (D), is that an alternating series?

## Similar Questions

1. ### College Calculus (Binomial Series)

Expand f(x) = (x+x^2)/((1-x)^3) as a power series and use it to find the sum of series (SUM from n=1 to infinity) (n^2)/(2^n) PLEASE HELP.
2. ### Calculus

Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series …
3. ### calculus

Consider the infinite series of the form: (+/-)3(+/-)1(+/-)(1/3)(+/-)(1/9)(+/-)(1/27)(+/-)...(+/-)(1/3^n)(+/-)... (A) Find x and y from: x(</=)(+/-)3(+/-)1(+/-)(1/3)(+/-)...(</=)y. (B) Can you choose the signs to make the series …
4. ### calculus

Does the series from 0 to infinity of [1/square root of (n+4)] x cos(n x pi) converge or diverge?
5. ### Calculus

does infinite power series -1/n diverge? (i think so, because it is just the negative of the harmonic series)...?
6. ### Calculus

Consider an infinite series of the form (+-)3(+-)1(+-)1/3(+-)1/9(+-)1/27(+-)....(+-)1/3^n(+-)... The number 3,1, etc. are given but you will decide what the signs should be. a)Can you choose the signs to make the series diverge?
7. ### Pre-Calculus

Q.Determine the sum of each infinite geometric series. t_1= 8 r = -2^1/2 ---------------------------------------- A.This is a divergent series because the absolute value of r is greater than 1. ---------------------------------------- …
8. ### Algebra 2

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 …
9. ### Math

Consider the following series: 1,2,3,4,5,10,20,40....which starts as an arithmetic series?
10. ### Math

Does the following infinite geometric series diverge or converge?

More Similar Questions