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1 Patterns in Mathematics

Learning Objectives

After studying this chapter, students will be able to...
Scan to learn
 identify the pattern in a number sequence, geometrical pattern formation and predict the next value
of a given pattern
 define the rules in a predictable sequence of items
 recognise, create, and extend both simple and complex patterns in different settings, including nature

get ready!

Mr Solanki wrote a problem on the blackboard and challenged the students to solve it as soon as possible.
Rama within a minute, came out with the correct answer as discussed below.

Find the sum of
Who can compute it 1 + 2 + 3 + 4 + ... + 98 + 99 +100
quickly?

Sir, its total How could you find its
would be 5050 answer so quickly?

You can see the pattern as:
1 + 100 = 2 + 99 = 3 + 98
= ... = 50 + 51 = 101
There are 50 such pairs.
Hence, the sum = 101 × 50
= 5050

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