List of top Quantitative Aptitude Questions on Sequence and Series asked in ATMA

What is the value of the sum \(\dfrac{1}{1\cdot2} + \dfrac{1}{2\cdot3} + \dfrac{1}{3\cdot4} + \cdots + \dfrac{1}{9\cdot10}\)?
Consider a sequence where the nth term, \( t_n = \frac{n}{n+2} \), \( n = 1, 2, \dots \). The value of \( t_3 \times t_4 \times t_5 \times \dots \times t_{53} \) equals: