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Find a set of consecutive counting numbers whose sum is 154. Each set may consist of 2 comma 3 comma 4 comma 5 comma or 6 consecutive integers. Use the spreadsheet activity Consecutive Integer Sum on our Web site to assist you.

Give the smallest number of the set for each set. If there are no such numbers, put "x" as your answer.



Answer :

apologiabiology
so find conting number that add up to 156
use 2 number 3,4,5,6
I will do all of them

so consecutive number
to find them this is the equation
x is a number
x+1= next consecutive number so


the group of 2 numbers is
x+x+1=154

2x+1=154
subtract 1
2x=153
divie by 2
we want counting numbers and 153 is odd so odd divided by 2 is not a conting number so there are no 2 consecutive countin g numbers that satisfy these conditions
so there is no such number
the smallest number is x



group of 3 numbers is
x+x+1+x+2=154
3x+3=154
subtract 3
3x=151
divide by 3
the result is a non-counting number so there are no 3 consecutive counting numbers that satisfy these conditons
the smallest number is x

group of 4 numbers is
x+x+1+x+2+x+3=154
4x+6=154
subtract 6 from both sdies
4x=152
divide both sides by 4
x=38
the first number is 38
the set is
38,39,40,41
the smallest number is 38



group of 5 numbers is x+x+1+x+2+x+3+x+4=154
5x+10=154
subtract 10
5x=144
divide by 5
this will result in a non counting number so there is not 5 consecutive conungint numbers that satisfy these conditions
so the smallest number is x


group of 6 numbers is
x+x+1+x+2+x+3+x+4+x+5=154

6x+15=154
subtract 15
6x=139
divide by 6
this will result in a non counting nubmers that do knowt satisfy the condtions so the smalles tnumber is x




2 numbers:x
3 numbers:x
4 numbers:38,39,40,41
5 numbers:x
6 numbers:x


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