3 can you help with a-c subparts ## Several terms of a sequence {a_n} (n=1 to ∞) are given below:\[ \left\{ 3, \ \frac{3}{4}, \ \frac{3}{16}, \ \frac{3}{64}, \ \frac{3}{256}, \ \ldots \right\} \]### Questions:**a. Find the next two terms of the sequence.****b. Find a recurrence relation that generates the sequence.****c. Find an explicit formula for the general nth term of the sequence.**### Answers:#### a. Find the next two terms of the sequence.\[ a_6 = \boxed{\phantom{answer}} , \quad a_7 = \boxed{\phantom{answer}} \quad (\text{Simplify your answers.}) \]#### b. Find a recurrence relation that generates the sequence.\[ a_{n+1} = \boxed{\phantom{answer}}, \quad a_1 = \boxed{\phantom{answer}}, \quad \text{for } n = 1, 2, 3, \ldots \]#### c. Find an explicit formula for the general nth term of the sequence.\[ a_n = \boxed{\phantom{answer}}, \quad \text{for } n = 1, 2, 3, \ldots \] ---Ensure all answers are simplified, and sequence properties are clearly explained for educational purposes.

Name: 3 can you help with a-c subparts ## Several terms of a sequence {a_n}
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: 3 can you help with a-c subparts ## Several terms of a sequence {a_n} (n=1 to ∞) are given below:\[ \left\{ 3, \ \frac{3}{4}, \ \frac{3}{16}, \ \frac{3}{64}, \ \frac{3}{256}, \ \ldots \right\} \]### Questions:**a. Find the next two terms of the seque