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错项求和在数列中是一块重要的内容,是近几年各省高考试卷中的常客,错项求和方法简单,其一般数列的通项形式为a_n=(an+b)·q~n,通常要先列出等比数列与等差数列相乘的式子,设为式1;然后将这个式子乘以公比,形成式2.两式相减,形成一个等比数列.但这样在运算过程中经常会发生错误;可将错项求和转化为裂项求和,将数列中的每项分解,重新组合,使之能消去一些项,减少运算错误最终达到求和的
The sum of faults is an important part of the series. It is a frequent visitor to the provincial examination papers in recent years. The method for summing the wrong terms is simple. The general form of the general sequence is a_n=(an+b)·q~n. Generally, the equation that multiplies the series of equal numbers and the series of equal numbers is firstly listed, and is set as formula 1; then, this formula is multiplied by the common ratio to form formula 2. The two formulas are subtracted to form an analogy number series. But In this way, errors often occur in the calculation process; the sum of the wrong terms can be converted into the sum of the split terms, and each of the items in the series can be decomposed and recombined so that some items can be eliminated, and the calculation error can be reduced to the final sum.