Skip to content

Course home

1.4 Sequences and Series

1.4 Sequences and Series

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245
Question 116

A commercial deep-sea mining operation estimates its annual extraction of rare earth minerals as follows:

  • In year 1, 125 tonnes were extracted.
  • In year 8, it is predicted that 1100 tonnes will be extracted.

Model P P\,P assumes that the mass of minerals extracted will increase by the same amount each year.

a.

Using model PPP, find the mass of minerals extracted in year 4. Give your answer to the nearest 10 tonnes.

[2]
b.

Model Q Q\,Q assumes that the mass of minerals extracted will increase by the same percentage each year.

Using model QQQ, find the mass of minerals extracted in year 2. Give your answer to the nearest 10 tonnes.

[2]
c.

Calculate, according to the two models, the difference between the total mass of minerals extracted from year 1 to year 8 inclusive. Give your answer to the nearest 10 tonnes.

[4]
Markscheme

1.4 Sequences and Series Questions

  1. A Level
  2. /Maths
  3. /1.4 Sequences and Series

308 exam-style questions on OCR A Level Maths 1.4 Sequences and Series, covering 1.4.1 Binomial expansion for positive integer n, 1.4.2 Link to binomial probabilities, 1.4.3 Binomial expansion for rational n (A-level only), 1.4.4 Validity of the expansion (A-level only), 1.4.5 Sequences (A-level only), 1.4.6 Increasing, decreasing and periodic sequences (A-level only), 1.4.7 Sigma notation (A-level only), 1.4.8 Arithmetic sequences and series (A-level only), 1.4.9 Geometric sequences and series (A-level only), 1.4.10 Sum to infinity of a geometric series (A-level only), and 1.4.11 Modelling with sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank