The total net flux of a pulsating radiation source is modeled as the sum to infinity of a geometric series, PPP. This sum is measured to be 7.5 units.
A phase-inverted secondary source is monitored where each discrete flux pulse, jnj_njn, is related to the corresponding pulse in the first source, ini_nin, by the linear relationship jn=−2.4inj_n = -2.4 i_njn=−2.4in for all n≥1n \ge 1n≥1.
Determine the total net flux of the secondary radiation source.
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.