# The first term of an arithmetic sequence is 2

The first term of an arithmetic sequence is 2. The first term of a geometric sequence is

also 2 and its common ratio equals the common difference of the arithmetic sequence.

The third term of the geometric sequence exceeds the square of the first term of the

arithmetic sequence by 124. Find:

i. The common difference (3 marks)

ii. The sum of the first 10 terms of the arithmetic sequence (2 marks)