Skip to content
MathsGenie logo
Open app

Course home

  1. A Level
  3. Maths Edexcel
  5. Question bank

Sequences and Series

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137
Question 88
a.

An arithmetic series is defined by the expression

∑r=837(4r−3) \sum_{r=8}^{37} (4r - 3) r=8∑37​(4r−3)

(i) Write down the first term of the series. (ii) Write down the common difference of the series. (iii) Find the number of terms of the series.

[3]
b.

The energy output of a turbine across various operating frequencies is modeled by a different arithmetic series

∑r=2079(kr+m) \sum_{r=20}^{79} (kr + m) r=20∑79​(kr+m)

where kkk and mmm are constants. The total energy output of this series is 10980 units. (i) Show that 49.5k+m=18349.5k + m = 18349.5k+m=183. (ii) The 21st term of the series is 15 more than twice the 1st term. Find the values of kkk and mmm.

[6]

Sequences and Series Questions

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

Practise Edexcel A Level Maths Sequences and Series with exam-style questions for A Level Maths. 156 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank