Consecutive Numbers
Unit 5 – Activity 1
Can you find
any consecutive
numbers?
0, 1, 2,
4, 6,
8, 9,
11,
0,1,2,3,4,5
6,7,8,9,10
Some totals can be made by adding
together 4 consecutive numbers.
The first three totals that can be made in
this way are:
10 = 1 + 2 + 3 + 4
14 = 2 + 3 + 4 + 5
18 = 3 + 4 + 5 + 6
Can
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atotals?
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be
made in this way?
Describe a way of finding the 100th total that can be
made in this way. What will the total be?
Find a way of working out the nth number that can be
made in this way. Explain how you did this.
The 100th number in a sequence is
called the 100th term.
The nth number is called the nth
term.
Write down the nth term of the sequence
10, 14, 18, …
Is it possible to make the following totals
by adding 4 consecutive numbers? Explain
your reasoning.
34, 75, 130, 276, 312, 314.
Investigate
totals that can
be made by
adding together
5 consecutive
numbers