User interface language: English | Español

Date May 2018 Marks available 3 Reference code 18M.2.AHL.TZ1.H_1
Level Additional Higher Level Paper Paper 2 Time zone Time zone 1
Command term Calculate Question number H_1 Adapted from N/A

Question

The 3rd term of an arithmetic sequence is 1407 and the 10th term is 1183.

Find the first term and the common difference of the sequence.

[4]
a.

Calculate the number of positive terms in the sequence.

[3]
b.

Markscheme

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

u1 + 2d = 1407,  u1 + 9d = 1183   (M1)(A1)

u1 = 1471, d = −32     A1A1

[4 marks]

a.

1471 + (n − 1)(−32) > 0      (M1)

n < 1471 32 + 1

n < 46.96…      (A1)

so 46 positive terms      A1

[3 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 1—Number and algebra » SL 1.2—Arithmetic sequences and series
Show 111 related questions
Topic 1—Number and algebra

View options