Mathematics A-Level
linearity of summation
What linearity of summation means in Mathematics A-Level, as defined for WJEC.
Definition of linearity of summation
Check what you remember
Read the wording for your board, then hide it and explain linearity of summation in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: WJEC
Properties allowing constants to factor out, ∑ c u_r = c ∑ u_r, and sums to split term-by-term, ∑ (u_r + v_r) = ∑ u_r + ∑ v_r.
Topics that use linearity of summation
- Sequences and Series (A2 Unit 3: Pure Mathematics B) (WJEC A-Level)
Related terms
- Arithmetic sequence
- binomial approximation
- common difference
- compound growth and depreciation
- Convergent geometric series
- Geometric sequence
- infinite binomial series
- proof of geometric sum
Using linearity of summation in the exam
Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.
Practise Mathematics questions
Create a free account to answer exam-style questions on this topic and get feedback on your answers.
Start free
All Mathematics A-Level termsA week of Premium from your first lesson · Then the free plan continues · No card, no charge