The image shows part of a mathematical sequence where the first two terms, $a_1$ and $a_2$, are being defined.

From what I can see:

• $a_1 = \frac{1}{1(1+1)}$
• $a_2 = \frac{1}{2(2+1)}$

It looks like you are working with a sequence where each term is of the form:

$a_n = \frac{1}{n(n+1)}$

Would you like me to explain this sequence further, solve for more terms, or explain its properties in detail?

Related Questions:

1. What is the general formula for the $n$-th term of this sequence?
2. How does this sequence behave as $n$ approaches infinity?
3. Can this sequence be summed, and what is the sum of the series?
4. What is the partial sum $S_n = a_1 + a_2 + \dots + a_n$ of this sequence?
5. How does this sequence relate to the harmonic series or other known series?

Tip:

This sequence can be simplified further using partial fraction decomposition for sums, which is a useful tool in calculus.