Arithmetic Progression

• Sum of the first 4 terms = 56
• Sum of the last 4 terms = 112
• First term

1. Identify that in a trapezium, there should exactly be one pair of opposite sides that are parallel.
2. Contrast this with a scenario where both pairs of opposite sides could be parallel—this would make the figure a parallelogram.
3. Recognize the definition: "Two opposite sides are parallel and two opposite sides are non-parallel" aligns with having only one pair of parallel sides.

This problem involves linear depreciation. The vase’s value decreases by Rs.2,000 each year.

The formula for the number of years needed to reach a specific value is:

Number of Years = .

Given:

Initial Value = Rs. 36,000,
Final Value = Rs. 6,000,
Annual Depreciation = Rs. 2,000.

Substitute into the formula:

Number of Years = years.

Thus, it will take 15 years for the value of the vase to reduce to Rs.6,000.