Ask AI on The Internet
Question: The first term is 1 and the second term 2. The rest of the terms are found by adding the two terms before it together, and then doubling the answer.
It sounds like you're trying to describe a sequence where each term (starting from the third term) is found by adding the two previous terms and then doubling the result. Let's define this sequence step by step. 1. The first term (\(a_1\)) is 1. 2. The second term (\(a_2\)) is 2. 3. For \(n \geq 3\), the \(n\)-th term (\(a_n\)) is found by the formula: \[ a_n = 2 \times (a_{n-1} + a_{n-2}) \] Let's compute a few terms of this sequence to understand the pattern: 1. \( a_1 = 1 \) 2. \( a_2 = 2 \) 3. \( a_3 = 2 \times (a_2 + a_1) = 2 \times (2 + 1) = 2 \times 3 = 6 \) 4. \( a_4 = 2 \times (a_3 + a_2) = 2 \times (6 + 2) = 2 \times 8 = 16 \) 5. \( a_5 = 2 \times (a_4 + a_3) = 2 \times (16 + 6) = 2 \times 22 = 44 \) 6. \( a_6 = 2 \times (a_5 + a_4) = 2 \times (44 + 16) = 2 \times 60 = 120 \) So the first six terms of the sequence are: 1, 2, 6, 16, 44, 120. If you need more terms or further assistance with this sequence, feel free to ask!
A new large language model has been made available since this question was asked.
To generate an updated answer from the new model, click the button below.
Think your answer is better than the AI's? Post it below.
Other Most Relevant Posts:
To find the subsequent terms in the sequence you described, we follow the rule: each term is obtained by multiplying the two preceding terms and then doubling the result.
1. First term = 2
2. Second
To find the third term and subsequent terms of the sequence following your given rules, you must add the two previous terms and then double the result. Here’s the process:
1. **1st term** = 1
2. **2n
Let's calculate the terms according to the rule you provided:
1st term = 2
2nd term = 5
To find the 3rd term:
Multiply the 1st and 2nd terms and add 1.
\[ \text{3rd term} = (2 \times 5) + 1 = 10 + 1
Question Tags
If you want your question answered by an AI, click here.



Post your own comment or use AI: