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Series: Arithmetic Progressions
In the arithmetic series with a common difference of
– 2
---
3
, starting at 5,
the 47th term is

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Worked Solution

For each term after the 1st we add on the common difference,
– 2
---
3
so the 47th term will be
– 2
---
3
×(47 – 1) =
– 92
---
3
 added on to the first term 5
The 47th term is therefore
– 77
---
3
 = –25.667

© MEI Produced by Dr Ron Knott, 13 November 2006
tom . button [AT] mei . org . uk 		Test reference: SeriesAPterms.html?ref=63697,qu=diff