SPS SPS FM 2020 June — Question 1

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2020
SessionJune
TopicGeneralised Binomial Theorem
TypeState validity only

1.
  1. Find the first 4 terms, in ascending powers of \(x\), of the binomial expansion of $$\sqrt { 1 + 4 x }$$ giving each coefficient in its simplest form. The expansion can be used to find an approximation for \(\sqrt { 26 }\)
  2. Explain why \(x = \frac { 25 } { 4 }\) should not be used in the expansion to find an approximation for \(\sqrt { 26 }\)