Skip to content

Course home

Sign up

Sequences and Series

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182
Question 173

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]
Markscheme

Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /Sequences and Series

326 exam-style questions on Edexcel A Level Maths Sequences and Series, covering 3.1 Arithmetic Sequences, 3.2 Arithmetic Series, 3.3 Geometric Sequences, 3.4 Geometric Series, 3.5 Sum to Infinity, 3.6 Sigma Notation, 3.7 Recurrence Relations, and 3.8 Modelling with Series. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank