Skip to content

Course home

3.4 Sequences and Series (A-level only)

3.4 Sequences and Series (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179
Question 154

The volume of telemetry data, DDD, in petabytes, captured by a deep-space relay station is observed over its first three years of operation. The data volumes for years 1, 2, and 3 are modeled as the first three terms of a geometric series and are given by

2k−15,k,k+10 2k - 15, \quad k, \quad k + 10 2k−15,k,k+10

where kkk is a constant.

a.

Prove that k2+5k−150=0k^2 + 5k - 150 = 0k2+5k−150=0.

[3]
b.

Determine the volume of data predicted to be captured in year 4.

[2]
c.

The cumulative volume of data captured since the start of operation is predicted to exceed 5×1065 \times 10^65×106 petabytes for the first time in year NNN. Calculate the value of NNN.

[4]
Markscheme

3.4 Sequences and Series (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.4 Sequences and Series (A-level only)

231 exam-style questions on WJEC A Level Maths 3.4 Sequences and Series (A-level only), covering 3.4.1 Sequences and Series (A-level only), 3.4.2 Sequences and Series (A-level only), 3.4.3 Sequences and Series (A-level only), 3.4.4 Sequences and Series (A-level only), 3.4.5 Sequences and Series (A-level only), 3.4.6 Sequences and Series (A-level only), and 3.4.7 Sequences and Series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank