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(a + b)/2

SEQ014 · Sequences & series · Classes 9–11

Arithmetic mean

The arithmetic mean of a and b is the number halfway between them; a, AM, b form an AP.

📐 Formula

AM = (a + b)/2

✏️ Worked example

AM of 4 and 10 = 7, and 4, 7, 10 is an AP.

🌍 Where it is used

Averages of marks, temperatures and prices.

❓ Quick check

AM of 6 and 14?

🏋️ Practice

EasyAM of 3 and 11?

Answer: 7

MediumInsert 2 arithmetic means between 2 and 11.

Answer: 5, 8

ChallengeAM of a and b is 9, a = 5. b = ?

Answer: 13