Question
Download Solution PDFIf a, b, c are in arithmetic progression then:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept used:
Let a, b, c… and so on be our series
As we know the common difference = b – a, c – b.
The common difference is the same in arithmetic progression
b – a = c – b
Calculation:
b – a = c – b
⇒ b + b = c + a
⇒ 2b = c + a
⇒ 2b = a + c
∴ a, b, c are in arithmetic progression then 2b = a + c.
Alternate Method
Let number be 1, 2, 3 which are in AP
Only one option satisfied the equation
2(2 ) 1 + 3 =so 2b = a + c is correct option
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