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## Answers

The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find a formula for the n th term and the value of the 50 th term

Solution to Problem 1:

Use the value of the common difference d = 3 and the first term a1 = 6 in the formula for the n th term given above

an = a1 + (n - 1 )d

= 6 + 3 (n - 1)

= 3 n + 3

The 50 th term is found by setting n = 50 in the above formula.

a50 = 3 (50) + 3 = 153