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Let five odd consecutive natural numbers are P,Q,R,S and T . What is their average ?
Question

Let five odd consecutive natural numbers are P,Q,R,S and T . What is their average ?

A.

15\frac15​(PQRST)

B.

(P+Q+R+S+T)

C.

(P+4)

D.

None of the above

Correct option is C

Given:
Five consecutive odd natural numbers are P, Q, R, S, T.
Formula Used:
Average of an odd number of consecutive terms in an Arithmetic Progression (AP) is the middle term.
Solution:
Since P, Q, R, S, and T are consecutive odd numbers, they form an AP with a common difference of 2.
Thus, Q = P + 2, R = P + 4, S = P + 6, and T = P + 8.
The average of these 5 terms is exactly the middle term, which is R.
Substitute the relationship of R in terms of P.
Average = R = P + 4.
Final Answer
So the correct answer is (c)

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