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Question

(A) For a sequence of $n$ consecutive odd integers,the average is equal to the middle term when $n$ is odd.Since there are $25$ consecutive odd intege

Vedclass · Accepted Answer

$79$

Vedclass · Answer

(A) For a sequence of $n$ consecutive odd integers,the average is equal to the middle term when $n$ is odd.Since there are $25$ consecutive odd integers,the average is the $13^{	ext{th}}$ term.Given that the average is $55$,the $13^{	ext{th}}$ term is $55$.To find the highest (the $25^{	ext{th}}$) term,we need to add $12$ gaps of $2$ each to the $13^{	ext{th}}$ term.$	ext{Highest term} = 55 + (25 - 13) 	imes 2 = 55 + 12 	imes 2 = 55 + 24 = 79$.

The average of $25$ consecutive odd integers is $55$. The highest of these integers is

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