In the given geometric series, the numbers are 2, 2, 2, 2, 2. To analyze this series, we first identify the first term and the common ratio.
The first term, denoted as a1, is simply the first number in the series, which is 2.
Next, we look for the common ratio, denoted as r. This ratio is derived by dividing any term in the series by the preceding term. In our case:
- r = 2/2 = 1
- r = 2/2 = 1
- r = 2/2 = 1
- r = 2/2 = 1
Since all the calculations yield 1, the common ratio r is also 1.
In conclusion:
- The value of a1 (the first term) is 2.
- The value of r (the common ratio) is 1.