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1.6.13 Standard formulae for arithmetic series (A-level only)

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Question 34

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

In an arithmetic series:

  • the fourth term is 6
  • the sum of the first eight terms is 92

For this series,

a.

find the value of the first term, aaa, and the value of the common difference, ddd.

[5]
b.

Hence find the smallest value of nnn for which Sn>5000S_n > 5000Sn​>5000.

[4]

1.6.13 Standard formulae for arithmetic series (A-level only) Questions

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