The first four terms of the sequence are; An=4.7•-6.0ⁿ⁻¹ = (1, -1.3, 1.69, 1.69, and −2.197)
An=5ⁿ⁻¹ = (1, 5, 25, and 125)
An=2.1•5.0ⁿ⁻¹ = (10.5, 10.5, 52.5, 262.5)
An=2n (2, 4, 6, 8)
How to obtain the terms in a geometric sequence
If you have the explicit formula for the geometric sequence, like An = a * r^(n-1), where:
a is the first term
r is the common ratio
n is the term number,
you can simply substitute the desired term number (n) into the formula and calculate the corresponding value.
So, for the first sequence, we would have;
4.7 * -6.0 = -1.3ⁿ⁻¹
1 = -1.3¹⁻¹
= -1.3⁰
= 1
The second term would be -1.3ⁿ⁻¹
-1.3²⁻¹
= -1.3¹
= -1.3
The third term would be -1.3³⁻¹
= -1.3²
=1.69
The fourth term would be -1.3⁴⁻¹
= -1.3³
= -2.197