Q4. The nth term 7, in terms of n for the sequence: 3,5,7,9,...is
The nth term for the sequence 3, 5, 7, 9, ... can be found using the formula:
nth term = first term + (n - 1) * common difference.
In this sequence, the first term (a) is 3, and the common difference (d) is 2 since each subsequent term is obtained by adding 2. Plugging these values into the formula, we have:
nth term = 3 + (n - 1) * 2.
Simplifying further:
nth term = 3 + 2n - 2.
Combining like terms:
nth term = 2n + 1.
Therefore, the nth term for the sequence 3, 5, 7, 9, ... can be expressed as 2n + 1.