Let A₁, A₂, …, An, n arithmetic means are inserted between two numbers ‘a’ and ‘b’ such that a, A₁, A₂, …, An, b from an AP.
Here, total number of terms are (n + 2) and common difference be d
b = (n + 2)th term = a + (n + 2 – 1) d
d = (b – a)/ (n + 1)
Share this:
- Click to share on X (Opens in new window) X
- Click to share on Facebook (Opens in new window) Facebook
- Click to share on WhatsApp (Opens in new window) WhatsApp
- Click to share on Telegram (Opens in new window) Telegram
- Click to email a link to a friend (Opens in new window) Email
- Click to share on LinkedIn (Opens in new window) LinkedIn
- Click to share on Reddit (Opens in new window) Reddit
- Click to share on Pocket (Opens in new window) Pocket
- Click to share on Threads (Opens in new window) Threads
- More
Related
Arithmetic Progression: Finding the “n”th term of AP and Sum to “n”th term of AP
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d" For example, the sequence 9, 6, 3, 0,-3, .... is an arithmetic progression with -3 as the common difference. The…
In "Bangalore University B.com Notes"
Harmonic Mean Characteristics, Applications and Limitations
A simple way to define a harmonic mean is to call it the reciprocal of the arithmetic mean of the reciprocals of the observations. The most important criteria for it is that none of the observations should be zero. A harmonic mean is used in averaging of ratios. The most…
In "Management Notes"
Arithmetic Mean: Characteristics, Applications and Limitations
The arithmetic mean,’ mean or average is calculated by summing all the individual observations or items of a sample and dividing this sum by the number of items in the sample. For example, as the result of a gas analysis in a respirometer an investigator obtains the following four readings…
In "Management Notes"
One thought on “Insertion of Arithmetic Mean”