AQA AS Paper 1 Specimen — Question 8 6 marks

Exam BoardAQA
ModuleAS Paper 1 (AS Paper 1)
SessionSpecimen
Marks6
TopicBinomial Theorem (positive integer n)
TypeNumerical approximation using expansion

8
  1. Find the first three terms, in ascending powers of \(x\), of the expansion of \(( 1 - 2 x ) ^ { 10 }\)
    [0pt] [3 marks]
    8
  2. Carly has lost her calculator. She uses the first three terms, in ascending powers of \(x\), of the expansion of \(( 1 - 2 x ) ^ { 10 }\) to evaluate \(0.998 ^ { 10 }\)
    Find Carly's value for \(0.998 ^ { 10 }\) and show that it is correct to five decimal places.
    [0pt] [3 marks]