The first four terms of a sequence are 11 21 31 41(a) Write down an expression, in terms of n, for the nth term of the sequence
Question
The first four terms of a sequence are 11 21 31 41(a) Write down an expression, in terms of n, for the nth term of the sequence
Solution
The nth term of a sequence can be found using the formula: a + (n-1)d
In this sequence, the common difference (d) between each term is 10 (21-11, 31-21, 41-31).
The first term (a) is 11.
So, the nth term of the sequence can be expressed as:
11 + (n-1)10
Simplifying this gives:
10n + 1
So, the nth term of the sequence is 10n + 1.
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