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9 October, 21:12

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.

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  1. 9 October, 21:19
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    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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