Skip to content

Course home

3.3 Sequences and series (A-level only)

3.3 Sequences and series (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149
Question 114
a.

Find the coefficient of x5 x^5\,x5 in the expansion of (2+3x)7(2 + 3x)^7(2+3x)7.

[2]
b(i).

Expand 1−2x \sqrt{1 - 2x}\,1−2x​ in ascending powers of x x\,x as far as the term in x3x^3x3.

[3]
b(ii).

State the range of values of x x\,x for which your expansion is valid.

[1]
b(iii).

Use your expansion, with x=0.01x = 0.01x=0.01, to find an estimate for 98 \sqrt{98}\,98​ correct to five significant figures.

[2]
Markscheme

3.3 Sequences and series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.3 Sequences and series (A-level only)

200 exam-style questions on CCEA A Level Maths 3.3 Sequences and series (A-level only), covering 3.3.1 Sequences and series (A-level only), 3.3.2 Sequences and series (A-level only), 3.3.3 Sequences and series (A-level only), 3.3.4 Sequences and series (A-level only), 3.3.5 Sequences and series (A-level only), 3.3.6 Sequences and series (A-level only), 3.3.7 Sequences and series (A-level only), and 3.3.8 Sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank