TMUA Official 2018 Paper 2 · Question 7

Official papers

Official 2018 Paper 2 · Q7

Paper 2Sequences & seriesNumber & counting

Sequence 1 is an arithmetic progression with first term 11 and common difference 3.

Sequence 2 is an arithmetic progression with first term 2 and common difference 5.

Some numbers that appear in Sequence 1 also appear in Sequence 2. Let $N$ be the 20th such number.

What is the remainder when $N$ is divided by 7?

0

1

2

3

4

5

6

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