The average of 3 consecutive numbers is n. If the next two consecutive numbers are also included, the average of five number will
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2
Answer:
n + 1
Step-by-step explanation:
Consecutive No.s are having difference of 1.
Let the three numbers be x, x+1, x+2 (from the definition of consecutive no.s)
A/q (x + x + 1 + x + 2)/3 = n
which yield the value of x = n - 1 -----(1)
Now the next two no.s will be x + 3, x + 4
taking average,
(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = (5x + 10)/5
= x + 2
= n - 1 + 2 -- -using (1)
= n + 1
devanshkaushik0711:
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Answered by
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THANKS FOR THE QUESTION !
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GIVEN :
=> AVERAGE OF 3 CONSECUTIVE TERMS IS N
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LET,
THE 1ST NO. :
=> X
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SECOND NO :
=> X + 1
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THIRD NO :
=> X + 2
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FORTH NO :
=> X + 3
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FIFTH NO :
=> X + 4
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FROM THE GIVEN INFO :
=> X + X + 1 + X + 2 / 3 = N
=> 3X + 3 / 3 = n
=> 3 ( X + 1 ) / 3 = n
=> X + 1 = n
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CONDITION :
=> 3X + 3 + X + 3 + X + 4 / 5 = ?
=> 5X + 10 / 5 = ?
=> 5 ( X + 2 ) / 5 = ?
=> X + 2
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SO,
=> THE AVERAGE OF FIVE CONSECUTIVE NO. IS X + 2
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
HOPE IT WILL HELP U.....
THANKS AGAIN......
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
GIVEN :
=> AVERAGE OF 3 CONSECUTIVE TERMS IS N
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
LET,
THE 1ST NO. :
=> X
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SECOND NO :
=> X + 1
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
THIRD NO :
=> X + 2
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FORTH NO :
=> X + 3
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FIFTH NO :
=> X + 4
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FROM THE GIVEN INFO :
=> X + X + 1 + X + 2 / 3 = N
=> 3X + 3 / 3 = n
=> 3 ( X + 1 ) / 3 = n
=> X + 1 = n
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
CONDITION :
=> 3X + 3 + X + 3 + X + 4 / 5 = ?
=> 5X + 10 / 5 = ?
=> 5 ( X + 2 ) / 5 = ?
=> X + 2
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
SO,
=> THE AVERAGE OF FIVE CONSECUTIVE NO. IS X + 2
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
HOPE IT WILL HELP U.....
THANKS AGAIN......
⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕⭕
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