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Number Patterns

Numbers can also be arranged according to a pattern. Observe the following number
pattern.

2, 4, 6, 8, 10, 12, 14, ...

In this pattern, there is a relation between consecutive numbers in which 2 is added
each time to give the next number.

Patterns in Addition

1. Addition of two consecutive numbers 1 + 2 = 3

Observe the pattern in the addition of two 2 + 3 = 5
consecutive numbers. 3 + 4 = 7
____ + ____ = ____
We see that the sums are consecutive odd numbers
starting from 3.

2. Addition of three consecutive numbers

1 + 2 + 3 = 6 Here, we observe that the sums are
2 + 3 + 4 = 9 multiples of 3. Also, the sum is thrice the

3 + 4 + 5 = 12 middle term.
____ + ____ + ____ = ____

3. Addition of four consecutive numbers

Here, we observe that the sum
1 + 2 + 3 + 4 = 10 increases by 4 at each step.
2 + 3 + 4 + 5 = 14 Also, the sum in each case

3 + 4 + 5 + 6 = 18 is twice the sum of the two
middle terms.
____ + ____ + ____ + ____ = ____

4. Addition of five consecutive numbers

Here, we observe that
1 + 2 + 3 + 4 + 5 = 15 the sums are multiples

2 + 3 + 4 + 5 + 6 = 20 of 5. Also, the sum is
3 + 4 + 5 + 6 + 7 = 25 five times the middle
term.
____ + ____ + ____ + ____ + ____ = ____

140 Mathematics 4