Progressions/Sequences/Series (CIE-P1-2011) Archives — O/A Level Solutions

Hits: 343

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/13) | Q#2

Hits: 343 Question The first and second terms of a progression are 4 and 8 respectively. Find the sum of the first 10  terms given that the progression is     i.       an arithmetic progression    ii.       a geometric progression. Solution i.   From the given information, we can compile following data about Arithmetic Progression (A.P); Expression for the sum of  number of […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/12) | Q#10

Hits: 1299 Question a)   An arithmetic progression contains 25 terms and the first term is −15. The sum of all the terms in  the progression is 525. Calculate            i.       the common difference of the progression         ii.       the last term in the progression       iii.       the sum of all the positive terms in the progression.  […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | Oct-Nov | (P1-9709/11) | Q#6

Hits: 897 Question a)   The sixth term of an arithmetic progression is 23 and the sum of the first ten terms is 200. Find  the seventh term. b)   A geometric progression has first term 1 and common ratio r. A second geometric progression  has first term 4 and common ratio . The two progressions have the same […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/13) | Q#6

Hits: 1582 Question a)   A geometric progression has a third term of 20 and a sum to infinity which is three times the first  term. Find the first term. b)   An arithmetic progression is such that the eighth term is three times the third term. Show that the  sum of the first eight terms is four times the […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/12) | Q#10

Hits: 2056 Question a)   A circle is divided into 6 sectors in such a way that the angles of the sectors are in arithmetic  progression. The angle of the largest sector is 4 times the angle of the smallest sector. Given that  the radius of the circle is 5 cm, find the perimeter of the smallest sector. b)   […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2011 | May-Jun | (P1-9709/11) | Q#8

Hits: 834 Question A television quiz show takes place every day. On day 1 the prize money is $1000. If this is not won  the prize money is increased for day 2. The prize money is increased in a similar way every day  until it is won. The television company considered the following two different models for increasing  the […]