Question

The first three terms of a sequence are given. round to the nearest thousandth (if necessary). 1, 3, 5, 9, 25, . 1, 5 3 ​ , 25 9 ​ ,... find the 8th term

Answer 1

To find the 8th term of the sequence 1, 3, 5, 9, 25, we can use the formula n^2 - 1, where n is the position of the term in the sequence.

Step-by-step explanation:

The given sequence is 1, 3, 5, 9, 25. By observing the sequence, we notice that each term is obtained by squaring a natural number and then subtracting 1. The formula for the nth term of this sequence is n^2 - 1. To find the 8th term, we substitute n = 8 in the formula: (8^2) - 1 = 64 - 1 = 63.