The first term of a GP is 7 . Find its 4 th term if its common ratio is 3

Question

UpStudy AI · Accepted Answer

To find the 4th term of a Geometric Progression (GP) with the given parameters, follow these steps:

### Given:
- **First term (a₁)**: 7
- **Common ratio (r)**: 3
- **Term to find (n)**: 4

### Formula for the n-th term of a GP:
$$ a_n = a_1 \times r^{(n-1)} $$

### Plugging in the values:
$$ a_4 = 7 \times 3^{(4-1)} $$
$$ a_4 = 7 \times 3^3 $$
$$ a_4 = 7 \times 27 $$
$$ a_4 = 189 $$

### **Answer:**
The 4th term of the GP is **189**.
The 4th term of the GP is 189.

Solución de inteligencia artificial de Upstudy