This is documentation for Mathematica 5, which was
based on an earlier version of the Wolfram Language.

 Further Examples: Sum 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]=