a, b, c, d and e are 5 distinct numbers that from an arithmetic progression.…
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a, b, c, d and e are 5 distinct numbers that from an arithmetic progression. They are not necessarily consecutive terms but form the first 5 terms of the AP. It is known that c is the arithmetic mean of a and b, and d is the arithmetic mean of b and c. Which of the following statements are true?
i. Average of all 5 terms put together is c.
ii. Average of d and e is not greater than average of a and b.
iii. Average of b and c is greater than average of a and d.
- A.
i and ii only
- B.
ii and iii only
- C.
all three statements are true
- D.
i and iii only
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