Find the sum of the first 6 terms of exponential sequence 18,6,2
To find the sum of the first 6 terms of an exponential sequence, we need to calculate each term and then add them up.
The common ratio of this exponential sequence is 1/3 since each term is obtained by multiplying the previous term by 1/3.
So, the first six terms of the sequence are:
18, 6, 2, 2/3, 2/9, 2/27
Now, we can add these terms together:
18 + 6 + 2 + 2/3 + 2/9 + 2/27
= 18 + 6 + 2 + 0.6667 + 0.2222 + 0.0741
= 26 + 0.6667 + 0.2222 + 0.0741
= 26.9629
Therefore, the sum of the first 6 terms of the given exponential sequence is 26.9629.