SOLUTION: Find the sum of the terms of a geometric sequence where the first term is 4, the last term is 324, and the common ratio is 3.
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Question 1044698: Find the sum of the terms of a geometric sequence where the first term is 4, the last term is 324, and the common ratio is 3.
U Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20850) (Show Source):
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To find the sum of a certain number of terms of a geometric sequence:
where is the sum of terms (nth partial sum), is the first term, is the common ratio.
if given the first term is , the last term is , and the common ratio is than we need first to find what number is the last term:
To find any term of a geometric sequence:
where a[1] is the first term of the sequence, is the common ratio, is the number of the term to find
.........since base same, exponents must be same too, so we have
-> so, your sequence have terms
than the sum will be:
