Question

Each term in a sequence of numbers is generated by multiplying the preceding number by 3, and then adding 2. If the first term is -3, what will the 6th term be?

A. -165
B. -57
C. 57
D. 165

Answer 1

The 6th term of the given sequence, starting with the first term of -3 and following the rule of multiplying by 3 and then adding 2, is calculated to be -487. This answer is not among the provided options, suggesting a possible question or options error.

Step-by-step explanation:

Finding the 6th Term in a Recursive Sequence

To find the 6th term of the sequence where each term is obtained by multiplying the previous one by 3 and then adding 2, we can break it down step by step. Starting with the first term, which is -3.

1. First term: -3
2. Second term: (-3) × 3 + 2 = -9 + 2 = -7
3. Third term: (-7) × 3 + 2 = -21 + 2 = -19
4. Fourth term: (-19) × 3 + 2 = -57 + 2 = -55
5. Fifth term: (-55) × 3 + 2 = -165 + 2 = -163
6. Sixth term: (-163) × 3 + 2 = -489 + 2 = -487

The 6th term of the sequence is -487, which is not listed in the given options (A to D). There might be an error in the question or the options provided.