# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | Oct-Nov | (P1-9709/13) | Q#9

Question a)   A geometric progression has first term 100 and sum to infinity 2000. Find the second term.  b)  An arithmetic progression has third term 90 and fifth term 80. i.       Find the first term and the common difference. ii.       Find the value of m given that the sum of the first m terms is equal to the sum of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | Oct-Nov | (P1-9709/12) | Q#5

Question a)   The first and second terms of an arithmetic progression are 161 and 154 respectively. The sum  of the first  terms is zero. Find the value of . b)  A geometric progression, in which all the terms are positive, has common ratio r. The sum of the  first  terms is less than 90% of the sum […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | Oct-Nov | (P1-9709/11) | Q#6

Question a)   The fifth term of an arithmetic progression is 18 and the sum of the first 5 terms is 75. Find the  first term and the common difference. b)  The first term of a geometric progression is 16 and the fourth term is  . Find the sum to infinity  of the progression. Solution a)   From […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | May-Jun | (P1-9709/13) | Q#1

Question The first term of a geometric progression is 12 and the second term is −6. Find     i.       the tenth term of the progression,    ii.       the sum to infinity. Solution i.   From the given information, we can compile following data for Geometric Progression (G.P); To find the tenth term; Expression for the general term  in the Geometric Progression (G.P) is: […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | May-Jun | (P1-9709/12) | Q#7

Question a)   Find the sum of all the multiples of 5 between 100 and 300 inclusive. b)   A geometric progression has a common ratio of  and the sum of the first 3 terms is 35. Find  i.       the first term of the progression, ii.       the sum to infinity. Solution a)   It is evident that each next multiple of […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2010 | May-Jun | (P1-9709/11) | Q#3

Question The ninth term of an arithmetic progression is 22 and the sum of the first 4 terms is 49.     i.       Find the first term of the progression and the common difference.  The nth term of the progression is 46.    ii.       Find the value of n. Solution i.   From the given information, we can compile following data for Arithmetic Progression (A.P); […]