Sum
 Usage
Notes
 Further Examples
Here is the sum of the first  odd integers.
In[1]:=
|
Out[1]=
|
Here is another finite sum.
In[2]:=
|
Out[2]=
|
This makes the iterator increment in steps of  .
In[3]:=
|
Out[3]=
|
Here is a triangular array.
In[4]:=
|
Out[4]//TableForm=
|
Here is its sum.
In[5]:=
|
Out[5]=
|
Mathematica gives an exact result for this sum.
In[6]:=
|
Out[6]=
|
Wrapping N around this result gives a numerical approximation.
In[7]:=
|
Out[7]=
|
If you know that you need a numerical result from the start, NSum is faster.
In[8]:=
|
Out[8]=
|
Symbolic sums
In[9]:=
|
Out[9]=
|
In[10]:=
|
Out[10]=
|
In[11]:=
|
Out[11]=
|
In[12]:=
|
Out[12]=
|
In[13]:=
|
Out[13]=
|
In[14]:=
|
Out[14]=
|
In[15]:=
|
Out[15]=
|
Infinite series whose sums contain 
In[16]:=
|
Out[16]=
|
In[17]:=
|
Out[17]=
|
In[18]:=
|
Out[18]=
|
In[19]:=
|
Out[19]=
|
In[20]:=
|
Out[20]=
|
In[21]:=
|
Out[21]=
|
In[22]:=
|
Out[22]=
|
In[23]:=
|
Out[23]=
|
In[24]:=
|
Out[24]=
|
In[25]:=
|
Out[25]=
|
In[26]:=
|
Out[26]=
|
In[27]:=
|
Out[27]=
|
In[28]:=
|
Out[28]=
|
In[29]:=
|
Out[29]=
|
Other infinite series
In[30]:=
|
Out[30]=
|
In[31]:=
|
Out[31]=
|
In[32]:=
|
Out[32]=
|
In[33]:=
|
Out[33]=
|
In[34]:=
|
Out[34]=
|
In[35]:=
|
Out[35]=
|
In[36]:=
|
Out[36]=
|
In[37]:=
|
Out[37]=
|
In[38]:=
|
Out[38]=
|
In[39]:=
|
Out[39]=
|
| 
