The first term of an arithmetic progression is and its common difference is

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The first term of an arithmetic progression is

1

and its common difference is

2

. The first term of a geometric progression is also

1

and its common ratio is

3

. Find the smallest positive integer

n

for which the sum of the first

n

terms of the geometric progression exceeds the sum of the first

n

terms of the arithmetic progression.