What is the nth term of the sequence 0, 3, 8, 15, 24, 35, 48?
Answer (2)
The nth term of the sequence 0 3 8 15 24 35 48 is given by the formula 2n².
To find the nth term, we can observe that each term in the sequence is obtained by adding the corresponding square of the position number (1, 2, 3, etc.) to the previous term. For example, the second term 3 is obtained by adding 2² to the first term 0.
Therefore, the nth term can be found by substituting n into the formula 2n².
The nth term of the sequence 0, 3, 8, 15, 24, 35, 48 can be defined with the formula a n = 2 n 2 − 2 n . This aligns with the pattern observed through differences in the terms, indicating a quadratic relationship. Thus, each term relates to a quadratic function of n.
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