Chapter 19: Problem 2
Find the sum of the first five terms of the arithmetic sequence with first term 3 and common difference 5 .
Chapter 19: Problem 2
Find the sum of the first five terms of the arithmetic sequence with first term 3 and common difference 5 .
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Get started for freeFind the Maclaurin expansion for \(\sin ^{2} x\). (Hint: use a trigonometrical identity and the series for \(\sin x\).)
Explain carefully the distinction between a sequence and a series.
(a) Obtain a quadratic Maclaurin polynomial approximation, \(p_{2}(x)\), to \(f(x)=\cos 2 x\). (b) Compare the approximate value given by \(p_{2}(1)\) with actual value \(f(1)\).
Derive the Maclaurin series for \(f(x)=\cos x\).
Find the seventh term of a geometric sequence with first term 2 and common ratio 3 .
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