![]() ![]() We will see that when we subtract, all but the first term of the top equation and the last term of the bottom equation subtract to zero. + a 1 r n r S n = a 1 r + a 1 r 2 + a 1 r 3 +. Let’s also multiply both sides of the equation by r. + a 1 r n − 1 S n = a 1 + a 1 r + a 1 r 2 +. We can write this sum by starting with the first term, a 1, a 1, and keep multiplying by r to get the next term as: ![]() The sum, S n, S n, of the first n terms of a geometric sequence is written as S n = a 1 + a 2 + a 3 +. We will now do the same for geometric sequences. We found the sum of both general sequences and arithmetic sequence. įind the Sum of the First n Terms of a Geometric Sequence Ⓑ Find the ratio of the consecutive terms. To determine if the sequence is geometric, we find the ratio of the consecutive terms shown. \)ĭetermine if each sequence is geometric. ![]()
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