Math, asked by akshaypatel7295, 1 year ago

The average of 3 consecutive numbers is n. If the next two consecutive numbers are also included, the average of five number will

Answers

Answered by devanshkaushik0711
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: Is this good????
Answered by shreya32457
2
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

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HOPE IT WILL HELP U.....

THANKS AGAIN......

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