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.

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