Mister Exam
Other calculators
- Taylor Series Step by Step
- Fourier series step by step
- Differential equations Step by Step
- Product of series
-
How to use it?
- Sum of series:
-
cos(n)
-
-8
-
1/sqrt(n)
-
10
- Limit of the function:
-
cos(n)
-
Identical expressions
- cos(n)
- co sinus of e of (n)
- cosn
-
Similar expressions
- cos(npi)/5^n
- cosnx/(n/(1/3))
- (cos(nx)*3^n)/2^n
- cos(nx)
Sum of series cos(n)
The solution
You have entered
[src]
36 __ \ ` ) cos(n) /_, n = 1
$$\sum_{n=1}^{36} \cos{\left(n \right)}$$
Sum(cos(n), (n, 1, 36))
The rate of convergence of the power series
The answer
[src]
cos(1) + cos(2) + cos(3) + cos(4) + cos(5) + cos(6) + cos(7) + cos(8) + cos(9) + cos(10) + cos(11) + cos(12) + cos(13) + cos(14) + cos(15) + cos(16) + cos(17) + cos(18) + cos(19) + cos(20) + cos(21) + cos(22) + cos(23) + cos(24) + cos(25) + cos(26) + cos(27) + cos(28) + cos(29) + cos(30) + cos(31) + cos(32) + cos(33) + cos(34) + cos(35) + cos(36)
$$\cos{\left(22 \right)} + \cos{\left(3 \right)} + \cos{\left(28 \right)} + \cos{\left(16 \right)} + \cos{\left(9 \right)} + \cos{\left(35 \right)} + \cos{\left(34 \right)} + \cos{\left(10 \right)} + \cos{\left(15 \right)} + \cos{\left(29 \right)} + \cos{\left(4 \right)} + \cos{\left(21 \right)} + \cos{\left(23 \right)} + \cos{\left(2 \right)} + \cos{\left(27 \right)} + \cos{\left(17 \right)} + \cos{\left(8 \right)} + \cos{\left(36 \right)} + \cos{\left(33 \right)} + \cos{\left(11 \right)} + \cos{\left(14 \right)} + \cos{\left(30 \right)} + \cos{\left(5 \right)} + \cos{\left(20 \right)} + \cos{\left(24 \right)} + \cos{\left(1 \right)} + \cos{\left(26 \right)} + \cos{\left(18 \right)} + \cos{\left(7 \right)} + \cos{\left(32 \right)} + \cos{\left(12 \right)} + \cos{\left(13 \right)} + \cos{\left(31 \right)} + \cos{\left(6 \right)} + \cos{\left(19 \right)} + \cos{\left(25 \right)}$$
cos(1) + cos(2) + cos(3) + cos(4) + cos(5) + cos(6) + cos(7) + cos(8) + cos(9) + cos(10) + cos(11) + cos(12) + cos(13) + cos(14) + cos(15) + cos(16) + cos(17) + cos(18) + cos(19) + cos(20) + cos(21) + cos(22) + cos(23) + cos(24) + cos(25) + cos(26) + cos(27) + cos(28) + cos(29) + cos(30) + cos(31) + cos(32) + cos(33) + cos(34) + cos(35) + cos(36)
The graph
Examples of finding the sum of a series
- The Sum of the Power Series
x^n/n
(x-1)^n
- Factorial
1/2^(n!)
n^2/n!
x^n/n!
k!/(n!*(n+k)!)
- Flint Hills Series
csc(n)^2/n^3
- Basel problem
1/n^2
1/n^4
1/n^6
- Harmonic series
1/n
- Grandi's series
(-1)^n
- Alternating series
(-1)^(n + 1)/n
(n + 2)*(-1)^(n - 1)
(3*n - 1)/(-5)^n
(-1)^(n - 1)*n/(6*n - 5)
- Newton–Mercator series
(-1)^(n + 1)/n*x^n
- Exam the series for convergence
(3*n - 1)/(-5)^n