The first two terms of a sequence are 2 and 3. Starting from the third term, the term is the sum of the previous two terms. Find the 3rd, 4th and 5th term of the sequence.
Question
The first two terms of a sequence are 2 and 3. Starting from the third term, the term is the sum of the previous two terms. Find the 3rd, 4th and 5th term of the sequence.
Solution
The sequence described is a Fibonacci-like sequence, where each term is the sum of the previous two terms.
The third term is the sum of the first and second terms, so 2 + 3 = 5.
The fourth term is the sum of the second and third terms, so 3 + 5 = 8.
The fifth term is the sum of the third and fourth terms, so 5 + 8 = 13.
So, the 3rd, 4th, and 5th terms of the sequence are 5, 8, and 13 respectively.
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