User interface language: English | Español

Date May 2019 Marks available 4 Reference code 19M.1.AHL.TZ2.H_1
Level Additional Higher Level Paper Paper 1 Time zone Time zone 2
Command term Determine Question number H_1 Adapted from N/A

Question

In an arithmetic sequence, the sum of the 3rd and 8th terms is 1.

Given that the sum of the first seven terms is 35, determine the first term and the common difference.

Markscheme

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

attempting to form two equations involving  u 1 and d         M1

( u 1 + 2 d ) + ( u 1 + 7 d ) = 1 and  7 2 [ 2 u 1 + 6 d ] = 35

2 u 1 + 9 d = 1

14 u 1 + 42 d = 70 ( 2 u 1 + 6 d = 10 )        A1

Note: Award A1 for any two correct equations

attempting to solve their equations:        M1

u 1 = 14 ,   d = 3        A1

[4 marks]

Examiners report

[N/A]

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