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An arithmetic series is the sequence of partial sums of an arithmetic sequence. That is, if A = {a, a+d, a+2d, ..., a+(n-1)d, ... } then the terms of the arithmetic series, S(n), are the sums of the first n terms and S(n) = n/2*[2a + (n-1)d]. Arithmetic series can never converge.A geometric series is the sequence of partial sums of a geometric sequence. That is, if G = {a, ar, ar^2, ..., ar^(n-1), ... } then the terms of the geometric series, T(n), are the sums of the first n terms and T(n) = a*(1 - r^n)/(1 - r). If |r| < 1 then T(n) tends to 1/(1 - r) as n tends to infinity.
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Oh, what a lovely question! In "The Secret Garden," some AR questions may ask about the main characters like Mary, Colin, and Dickon, or they might explore the themes of friendship, nature, and growth. Remember, each question is like a happy little tree waiting for you to paint a beautiful answer on its branches. Just relax, trust your instincts, and let your imagination guide you as you explore the wonders of this enchanting story.
ar
a, ar, ar^2 and ar^3 where a and r are constants.