Skip to content

Course home

1.4 Sequences and Series

1.4 Sequences and Series

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245
Question 230

A signal processor's response function R(x)R(x)R(x) is defined by the expansion of R(x)=(2x−5)8R(x) = (2x - 5)^8R(x)=(2x−5)8.

a.

Show that the first three terms, in descending powers of xxx, of this expansion are given by

256x8+ax7+bx6 256x^8 + ax^7 + bx^6 256x8+ax7+bx6

where aaa and bbb are integers to be found.

[3]
b.

Find the constant term in the expansion of

(2x−5x)8 \left(2x - \frac{5}{x}\right)^8 (2x−x5​)8
[3]
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