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Arithmetic Sequence

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This item is taken from IGCSE Mathematics (0580) Paper 32 of May/June 2013.

To deal with this item, let us summarize the details of the problem:
   (a) Syllabus area: Algebra
   (b) Specific topic: Arithmetic Sequence

   (c) Formula Needed:

IGCSE,mathematics,Cambridge,examination,past papers,revision,sequences,patterns,algebra,nth term,common difference,numbers,series
Let us identify first the given and details of the sequence. Let us start with the first term and the common difference of the sequence. The common difference is the result of subtracting any consecutive term of the sequence.
IGCSE,mathematics,Cambridge,examination,past papers,revision,sequences,patterns,algebra,nth term,common difference,numbers,series
Using the first term and the common difference,
IGCSE,mathematics,Cambridge,examination,past papers,revision,sequences,patterns,algebra,nth term,common difference,numbers,series
Another method (shortcut method) could be used to check at an instant the nth term of the sequence.
IGCSE,mathematics,Cambridge,examination,past papers,revision,sequences,patterns,algebra,nth term,common difference,numbers,series
IGCSE,mathematics,Cambridge,examination,past papers,revision,sequences,patterns,algebra,nth term,common difference,numbers,series
Therefore, the nth term of the arithmetic sequence is 4n + 3.

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