Question

Find the number of arithmetic means between 1 and 19 when the first mean to the last mean is 1 to 4.

A) 3
B) 4
C) 5
D) 6

Answer 1

There are no whole number of arithmetic means between 1 and 19 when the first mean to the last mean is in the ratio of 1 to 4.

Step-by-step explanation:

To find the number of arithmetic means between 1 and 19 when the first mean to the last mean is in the ratio of 1 to 4, we can set up the following equation:

1 + (n - 1)(4) = 19,

where n represents the number of arithmetic means.

Simplifying the equation, we get:

4n - 3 = 19,

4n = 22,

n = 22/4 = 5.5.

Since n represents the number of arithmetic means, it cannot be a decimal.

Therefore, there are no whole number of arithmetic means that satisfy the given conditions. The answer is none of the available options (A) 3, (B) 4, (C) 5, or (D) 6.