Prove Sn-1 > 2(n1/2 - 1) for all n ∈ Ν \ {1} where Sn = 1/√1 + 1/√2 + 1/√3 + ... + 1/√n I have set N = 2 for the basis step: S2-1 = 1/√1 > 2(√2...
Prove Sn-1 > 2(n1/2 - 1) for all n ∈ Ν \ {1} where Sn = 1/√1 + 1/√2 + 1/√3 + ... + 1/√n I have set N = 2 for the basis step: S2-1 = 1/√1 > 2(√2...
How does one determine if the following series is arithmetic or geometric? n f(n) Σ 0 1 1 1 5 6 2 14 ...
How does one determine if the following series is arithmetic or geometric. If it is arithmetic, what is the common difference? If it is geometric, what is the common ratio? Using this information,...
Prove Sn-1 > 2(n1/2 - 1) for all n ∈ Ν \ {1} where Sn = 1/√1 + 1/√2 + 1/√3 + ... + 1/√n
To write the maclaurin series for 1/sqrt(1+x^3), why is it incorrect to multiply top and bottom by sqrt(1+x^3) and write the series as if it were in the form 1/(1-x), thus making the series...
Please help me to find sum of this unlimeted serie: 1+2+3+5/7+3/2+4/3+25/49+3+4+... Thanks in advice
(infinity symbol) ∑ (n^2)/(5n^2+4) n=1 How do you know if it diverges. Please explain step by step.
the sum of the series 1/1! + (1+2)/ 2! + (1+2+3)/3! +.......... equals a) e b) e/2 ...
1. Describe the components of the vector v(t)=<t2,5t> and the meaning of this vector. 2. Convert the following parametric equation into a rectangular equation: {x(t)=5cost}...
can you? can the series 1+4+9+61+52 be represented in sigma notation
A.) 0+1+2+3+4+5+6+7+8+9 b.) 4+8+12+16+20 c.) 6+11+16+21+26+31+36 d.) 0+3+8+15+24+35+48+63+80 e...
Match the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. A. ∑(1/n),n=1 to infinity, B...
Use the properties of geometric series to find the sum of the series. For what values of the variable does the series converge to this sum? 5−10z+20z^(2)−40z^(3)+? sum = domain...
Σ∞n=1 1/5n
Match the following series with the series below in which you can compare using the Limit Comparison Test. Then determine whether the series converge or diverge. A. ∑(1/n),n=1 to infinity,...
What is 32nd term if given the following X Y 1 ...
The original question is "show that if t∈R with modulus of t < 1, then the series ∑n=1inf tn-1= 1+t+t2+... coverges.
Prove that: IF sum(an)[from 1 to inf] < inf, AND an > 0, THEN sum(sin(an))[from 1 to inf] < inf. How do I do it? Thanks!
Two light circuits with identical lightbulbs. One has two lightbulbs in parallel. Other has them in series. Student 1 says series will glow brighter cuz the same current goes to both lightbulbs...
Series: A Series (Or Infinite Series) is obtained from a sequence by adding the terms of the sequence. Another sequence associated with the series is the sequence of partial sums. A series converges...