Question

The first term of a geometric series is 3, and the sun of the first term and the second term is 15 what is the sum of the first six terms

Answer 1

To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- The first term of a geometric series is 3.
- The sum of the first term and the second term is 15.
2. Keeping this on mind, you must find the common ratio, as following:

`3+3r=15 \\ 3r=12 \\ r=4`
3. Now, multiply each term by the common ratio, and you will obtain:

`3,12,48,192,768,3072`
4. The sum of the first six terms is:

`3+12+48+192+768+3072=4095`
The answer is:
`4095`