A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apple trees in each row. The number of rows

A man plants 15376 apple trees in his garden and arranges them so that there are as many rows as there are apple trees in each row. The number of rows

The Correct answer is 124

Explanation

1. We are given that the man plants 15,376 apple trees.
2. We are also told that the number of rows is equal to the number of apple trees in each row.
3. To find the number of rows, we essentially need to find the square root of the total number of trees, as this represents the number on each side of a square grid arrangement.

Therefore, the number of rows:

Number of rows = √(Total number of trees)
= √(15,376)
≈ 124

Since the square root of 15,376 is approximately 124, the number of rows is 124.

Progressions

Progressions, in mathematics, are sequences of numbers that follow a certain pattern or rule. There are several types of progressions, including arithmetic progressions, geometric progressions, and harmonic progressions.

Arithmetic Progression (AP): In an arithmetic progression, each term is obtained by adding a constant value to the previous term. For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic progression with a common difference of 3.

Geometric Progression (GP): In a geometric progression, each term is obtained by multiplying the previous term by a constant value. For example, the sequence 2, 6, 18, 54, 162, ... is a geometric progression with a common ratio of 3.

Harmonic Progression (HP): In a harmonic progression, the reciprocal of each term forms an arithmetic progression. For example, the sequence 1, 1/2, 1/3, 1/4, 1/5, ... is a harmonic progression.

Progressions are used in various mathematical and real-world contexts to model and analyze patterns and trends. They are fundamental in algebra and calculus and are used in fields such as physics, economics, and engineering.