Find Specific Term from Given Conditions

Given conditions about terms and/or common difference of an arithmetic sequence (e.g., equations relating specific terms), find the value of a particular term.

turkey-yks 2024 Q17 View
Merve plans a 30-day walking program. On the first day, she walks for a certain duration, and plans to walk 1 minute longer each subsequent day than the previous day. Following this plan for the first 15 days, Merve began to struggle and reduced her walking time by 1 minute each day for the remaining days compared to the previous day.
After 30 days, Merve calculated her total walking time to be 1395 minutes.
Accordingly, how many minutes did Merve's first day walk last?
A) 30
B) 35
C) 40
D) 45
E) 50
turkey-yks 2025 Q13 View
For an arithmetic sequence $(a_{n})$,
$$\begin{aligned} & a_{1} \cdot a_{2} \cdot a_{3} = 2 \\ & a_{2} \cdot a_{3} \cdot a_{4} = 14 \end{aligned}$$
are given. Accordingly, what is the product $a_{3} \cdot a_{4} \cdot a_{5}$?
A) 28 B) 35 C) 42 D) 49 E) 56