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If a, b, c are in AP, which relation must hold?

Class 10Properties and Selection of AP TermsAlgebra — Sequences

A $b = a + c$
B $2 a = b + c$
C $2 b = a + c$
D $b^{2} = a c$

Step-by-Step Solution

b - a = c - b

, so

2 b = a + c . (b^{2} = a c

is the condition for a geometric pattern, not an AP.)

Answer: C)

2 b = a + c

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