42 a B1 2 B1 cao M 2n + 1 b B1 B1 cao 3n + 4 c B1 B1 cao No, because will always equal no matter what is, and the denominator n d B1 B1 for no increase of 4 will always give a larger C1 C1 for a clear concise explanation increase than the numerator increase of 1, hence the fraction can never be . larger than 5 43 a i Neither the Fibonacci series, B1 2 B1 for neither M – it’s where each term is found by adding the C1 C1 for clear explanation previous two. B1 B1 for geometric Geometric because each term is – ii C1 C1 for clear explanation multiplied by 2 to find the next term. Arithmetic because to find the next B1 B1 for arithmetic – iii C1 C1 for clear explanation term you add 4 to the previous term. Arithmetic. B1 B1 for arithmetic b B1 B1 for arithmetic c Arithmetic. 8
42 a b c d 2n + 1 3n + 4 No, because will always equal no matter what n is, and the denominator increase of 4 will always give a larger increase than the numerator increase of 1, hence the fraction can never be larger than . B1 B1 B1 B1 C1 2 B1 cao B1 cao B1 cao B1 for no C1 for a clear concise explanation M 5 43 a i ii iii b c Neither – it’s the Fibonacci series, where each term is found by adding the previous two. Geometric – because each term is multiplied by 2 to find the next term. Arithmetic – because to find the next term you add 4 to the previous term. Arithmetic. Arithmetic. B1 C1 B1 C1 B1 C1 B1 B1 2 B1 for neither C1 for clear explanation B1 for geometric C1 for clear explanation B1 for arithmetic C1 for clear explanation B1 for arithmetic B1 for arithmetic M 8
Higher_Skills_Algebra_MarkScheme_Edexcel.docx