a 1 = first number
a 2 = a 1 + 1 = second number
a 3 = a 1 + 2 = third number
a 4 = a 1 + 3 = fourth number
a 5 = a 1 + 4 = fifth number
a 6 = a 1 + 5 = sixth number
a 7 = a 1 + 6 = seventh number
a 8 = a 1 + 7 = eighth numer
a 9 = a 1 + 8 = ninth number
a 10 = a 1 + 9 = tenth number
a 11 = a 1 + 10 = eleventh number
a 1 + a 2 + a 3 + a 4 + a 5 + a 6 + a 7 + a 8 + a 9 + a 10 + a 11 = 2002
a 1 + a 1 + 1 + a 1 + 2 + a 1 + 3 + a 1 + 4 + a 1 + 5 + a 1 + 6 + a 1 + 7 + a 1 + 8 + a 1 + 9 + a 1 + 10 = 2002
11 a 1 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 2002
11 a 1 + 55 = 2002
11 a 1 = 2002 - 55
11 a 1 = 1947 Divide both sides by 11
a 1 = 1947 / 11
a 1 = 177
a2 = a 1 + 1 = 177 + 1 = 178
a 3 = a 1 + 2 = 177 + 2 = 179
a 4 = a 1 + 3 = 177 + 3 = 180
a 5 = a 1 + 4 = 177 + 5 = 181
a 6 = a 1 + 5 = 177 + 5 = 182
a 7 = a 1 + 6 = 177 + 6 = 183
a 8 = a 1 + 7 = 177 + 74 = 184
a 9 = a 1 + 8 = 177 + 8 = 185
a 10 = a 1 + 9 = 177 + 9 = 186
a 11 = a 1 + 10 = 177 + 10 = 187
a 1 + a 2 + a 3 + a 4 + a 5 + a 6 + a 7 + a 8 + a 9 + a 10 + a 11 =
177 + 178 + 179 + 180 + 181 + 182 + 183 + 184 + 185 + 186 + 187 = 2002
The greatest is eleventh number:
a 11 = 187
The sum of 11 consecutive positive integers is 2002. What is the greatest of these 11 integers?
***************************************
I truly appreciate the time and effort that you all give answering our questions and taking the time to explain how to get the answers when we need help.
Thanks for your help.
3 answers
Wow, this helped me sooooo much, thank you!!! Keep making posts like this.
Wrong answer