Hits: 1636

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | Oct-Nov | (P1-9709/13) | Q#5

Hits: 1636 Question a)   In a geometric progression, the sum to infinity is equal to eight times the first term. Find the  common ratio. b)  In an arithmetic progression, the fifth term is 197 and the sum of the first ten terms is 2040. Find the common difference. Solution a)     From the given information, we can […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | Oct-Nov | (P1-9709/12) | Q#7

Hits: 1103 Question a)   An athlete runs the first mile of a marathon in 5 minutes. His speed reduces in such a way that  each mile takes 12 seconds longer than the preceding mile.            i.       Given that the nth mile takes 9 minutes, find the value of n.          ii.    […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | Oct-Nov | (P1-9709/11) | Q#9

Hits: 2717 Question a)   In an arithmetic progression the sum of the first ten terms is 400 and the sum of the next ten terms is 1000. Find the common difference and the first term. b)  A geometric progression has first term , common ratio  and sum to infinity 6. A second geometric progression has first term , […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | May-Jun | (P1-9709/13) | Q#9

Hits: 1086 Question a)   In an arithmetic progression, the sum, , of the first  terms is given by  . Find the first term and the common difference of the progression. b)   The first 2 terms of a geometric progression are 64 and 48 respectively. The first 3 terms of the  geometric progression are also the 1st term, […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | May-Jun | (P1-9709/12) | Q#10

Hits: 1836 Question a)   The first and last terms of an arithmetic progression are 12 and 48 respectively. The sum of the  first four terms is 57. Find the number of terms in the progression. b)  The third term of a geometric progression is four times the first term. The sum of the first six  terms is k […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2013 | May-Jun | (P1-9709/11) | Q#4

Hits: 651 Question The third term of a geometric progression is −108 and the sixth term is 32. Find      i.       the common ratio,    ii.       the first term,   iii.     the sum to infinity. Solution From the given information, we can compile following data about Geometric Progression (G.P); i.   Expression for the general term  in […]