1. Find the first four terms of the sequence and state whether it is geometric, arithmetic,or neither. If geometric, state the ratio. If arithmetic, state the difference.
an =12(4)n
2. Write the explicit definition for an for the sequence 3,38,364,3512, ...
3. Find the third, fourth, and fifth terms of the sequence: a1 = 7
an = 6(an-1) – 3n + 1
4. Write the recursive definition for the sequence 2, 7, 22, 67, ...
5. Find the partial sum S19 for the series 7 + 14 + 28 + 56 +...
6. Determine if the infinite series converges or diverges. Find the sum if it converges.
10 + 1 +110 +1100 + ⋯
7. Write the given series in expanded form and evaluate.∑ 27 nn=2 + 5
8. Write the given series in sigma notation: 81 + 27 + 9 + 3 + 1 +13+ ⋯