Question

How to find nth term of −7,−4,3,14,29,48,71?

Answer 1

The nth term of the given sequence -7, -4, 3, 14, 29, 48, 71 can be calculated using the formula: nth term = -7 + 3 x (n-1).

Step-by-step explanation:

To find the nth term of the given sequence -7, -4, 3, 14, 29, 48, 71, we can observe that the sequence is increasing by an odd number each time. Let's break down the sequence:

1. The first term is -7
2. The second term is -7 + 3 x 1 = -4
3. The third term is -4 + 3 x 2 = 3
4. The fourth term is 3 + 3 x 3 = 14
5. The fifth term is 14 + 3 x 4 = 29
6. The sixth term is 29 + 3 x 5 = 48
7. The seventh term is 48 + 3 x 6 = 71

We can see that the nth term can be calculated using the formula: nth term = -7 + 3 x (n-1)