sum of consecutive integers

noun phrase
UK /sʌm əv kənˈsekjʊtɪv ˈɪntɪdʒəz/
US /sʌm əv kənˈsekjətɪv ˈɪntɪdʒərz/

The answer you get when you add numbers that come one after another with no gaps.

The sum of consecutive integers 4, 5, and 6 is 15.

SYNONYMS

consecutive integer sumseries of consecutive numbersrunning total of consecutive integerssequential integer addition

RELATED WORDS

arithmetic seriestriangular numberinteger sequencearithmetic progressionconsecutive numbers

OTHER MEANINGS

2. A total formed by adding whole numbers that follow each other in order, often starting from 1.

The sum of consecutive integers from 1 to 10 equals 55.

3. In algebra, an expression like n + (n+1) + (n+2) representing consecutive whole numbers added together.

She wrote the sum of consecutive integers as n + (n+1) + (n+2).

4. A classic puzzle topic where you find which consecutive whole numbers add up to a given total.

Can 100 be written as the sum of consecutive integers? Yes, for example 18 + 19 + 20 + 21 + 22.