Question

write the expression:

sum of 2 consecutive integers
sum of 3 consecutive integers
sum of 4 consecutive integers
sum of 5 consecutive integers

Answer 1

can anyone explain to me how consecutive integers work?

Answer 2

1,2,3,4 <---4 consecutive integers
8,9,10 <----3 consecutive integers

Answer 3

so i can just write 1 + 2 = 3
as an expression?

Answer 4

no, use n as representation of first digit
for 2 --> 2n+1
for 3 --> 3n+3
for 4 --> 4n+6
for 5 --> ??? can u see the pattern

Answer 5

for 5: 5n +3

Answer 6

the integer that is added is \[\sum_{1}^{n-1}n\]

Answer 7

sum of 2 consecutive int. -> 2n+1
sum of 3 consecutive int. -> 3n+3
sum of 4 consecutive int. -> 4n+6
sum of 5 consecutive int. -> 5n+10