for Assume that the matrix equation is true for With the matrix equation becomes by M1 Correct unsimplified A1 matrix with no errors seen. Manipulates so that on at least dM1 one term. Correct result with no errors seen with some A1 working between this and the previous A1 If the result is true for then it is now true for (2) As Correct the result has shown to be true for then the conclusion with A1 cso result is true for all (4) all previous n. marks earned (6) Question Scheme Notes Marks Number (b) Shows that B1 {which is divisible by 12}. { is divisible by 12 when } Assume that for is divisible by 12 for Correct So, unsimplified B1 expression for giving, Applies No simplification is M1 necessary and condone missing
for Assume that the matrix equation is true for With the matrix equation becomes by M1 Correct unsimplified matrix with no errors seen. A1 Manipulates so that on at least one term. dM1 Correct result with no errors seen with some working between this and the previous A1 A1 If the result is true for then it is now true for (2) As the result has shown to be true for then the result is true for all n. (4) Correct conclusion with all previous marks earned A1 cso (6) Question Number Scheme Notes Marks (b) Shows that B1 {which is divisible by 12}. { is divisible by 12 when } Assume that for is divisible by 12 for So, Correct unsimplified expression for B1 giving, Applies No simplification is necessary and condone missing M1
fp1_all-past-papers.docx