Range of consecutitive integers

Question

Okay, im looking at a career change so going back through GCSE level Maths before moving on and this one question is stumping me, as to why its n-1

this is probably simple but its driving me nuts,

consecutive - 1,2,3,4, e.t.c
integers - whole numbers

where does the -1 come from, sorry lol

Circle the expression for the range of n consecutive integers.

n+1
-----
2

n – 1

n

n + 1

u1983 · Answer

Range  of a set of numbers is the difference of highest number & the lowest number .
 Consecutive integers  are a set which when arranged in ascending or descending order , the common difference of any two consecutive number is 1.
Say for set : ex1: 1,2,3,4,5 Range= largest-smallest= 5-1 =4 = no of terms -1 =5-1
ex2: 3,4,5,6,7,8,9 Range= largest-smallest= 9-3 = 6 = no of terms -1 =7-1

This is because :   say the 1st term of this defined seq is x . Hence the nth term would be x+n-1 .( as 2nd term is n+1,3rd term is n+2,4th term is n+3 ,5th term is n+4 and so on..... i.e., as 2nd term is n+2-1,3rd term is n+3-1,4th term is n+4-1 ,5th term is n+5-1 and so on)
Hence, The Range= largest-smallest= x+n-1-x = n-1=no of terms -1 =n-1

Hope this helps!!

CAMANISHPARMAR · Answer

The range of a set of data is the difference between the highest and lowest values in the set.

This is a straight forward formula. Kindly elaborate why is this driving you nuts?

Bismarck · Answer

Other way to solve it

Take 4(n=4) consecutive number be 1,2,3 and 4.

Range = Maximum -Minimum = 4-1 =3

Now put n=4 , in the options and check which options results in 3.
A)n+1=4+1 =5

B)2

C)n – 1 =4-1= 3

D)n=4

E)n + 1=4+1=5

Option C is correct

Azza91 · Answer

thats perfect, thankyou.

I was thinking of it as a formula to work out which integer it was so N +1

I wasn't thinking of it as working out the range in relation to number of integers.

I feel so stupid now, thankyou.

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Range of consecutitive integers

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