Mathematics

Problem

For an arithmetic progression, the sum

S_n

of its first

n

terms is given by

S_n = 2n(3n-1).

Using this information, answer the following. a. (i) Show that the sequence is an arithmetic progression by finding its first term and common difference. b. (ii) Determine the least value of

n

for which

S_n

exceeds

1000

. State your answer with full working.

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