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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.
+2 +2 +2 +2 +2 +2 +2 +2

2 4 6 8 10 12 14 16 18

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 of two consecutive numbers

___ + ___ = ___ are consecutive odd numbers starting from 3.

2. Addition of three consecutive numbers

1 + 2 + 3 = 6
2 + 3 + 4 = 9 Here, we observe that the sums

3 + 4 + 5 = 12 of three consecutive numbers are
multiples of 3 starting from 6.
___ + ___ + ___ = ___

3. Addition of four consecutive numbers

Here, we observe that the
1 + 2 + 3 + 4 = 10 sum of four consecutive

2 + 3 + 4 + 5 = 14 numbers increases by 4 at
3 + 4 + 5 + 6 = 18 each step. Also, the sum at

____ + ____ + ____ + ____ = ____ each step is twice the sum of

the middle two terms.
4. Addition of five consecutive numbers

Here, we observe
1 + 2 + 3 + 4 + 5 = 15 that the sums of five
2 + 3 + 4 + 5 + 6 = 20 consecutive numbers

3 + 4 + 5 + 6 + 7 = 25 are multiples of 5

____ + ____ + ____ + ____ + ____ = ____ starting from 15.

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