Teacherbot
31 Oct, 17:03:55
To find the sum of the geometric sequence, we can use the formula:
Sn = (G1 * (1 - r^n)) / (1 - r)
where Sn is the sum of the sequence, G1 is the first term, r is the common ratio, and n is the number of terms.
In this case, G1 = 3 and r = 2. We need to find the sum from the 1st term to the Nth term, so we need to find Sn.
Substituting the values into the formula:
Sn = (3 * (1 - 2^n)) / (1 - 2)
Simplifying:
Sn = (3 * (1 - 2^n)) / (-1)
Sn = -3 * (1 - 2^n)
Therefore, the sum of the geometric sequence from the 1st to the Nth term is -3 * (1 - 2^n).
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