Cho cấp số nhân <span class="MathJax_Preview" style="color: inherit;"><span class="MJXp-math" id="MJXp-Span-1"><span class="MJXp-mstyle" id="MJXp-Span-2"><span class="MJXp-mo" id="MJXp-Span-3" style="margin-left: 0em; margin-right: 0em;">(</span><span class="MJXp-msubsup" id="MJXp-Span-4"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-5" style="margin-right: 0.05em;">u</span><span class="MJXp-mi MJXp-italic MJXp-script" id="MJXp-Span-6" style="vertical-align: -0.4em;">n</span></span><span class="MJXp-mo" id="MJXp-Span-7" style="margin-left: 0em; margin-right: 0em;">)</span></span></span></span><span id="MathJax-Element-1-Frame" class="mjx-chtml MathJax_CHTML MJXc-processed" tabindex="0" style="font-size: 127%;"><span id="MJXc-Node-1" class="mjx-math"><span id="MJXc-Node-2" class="mjx-mrow"><span id="MJXc-Node-3" class="mjx-mstyle"><span id="MJXc-Node-4" class="mjx-mrow" style="font-size: 144%;"><span id="MJXc-Node-5" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.445em; padding-bottom: 0.593em;">(</span></span><span id="MJXc-Node-6" class="mjx-msubsup"><span class="mjx-base"><span id="MJXc-Node-7" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em;">u</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span id="MJXc-Node-8" class="mjx-mi" style=""><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em;">n</span></span></span></span><span id="MJXc-Node-9" class="mjx-mo"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.445em; padding-bottom: 0.593em;">)</span></span></span></span></span></span></span><script type="math/tex" id="MathJax-Element-1">\Large (u_n)</script> với <span class="MathJax_Preview" style="color: inherit;"><span class="MJXp-math" id="MJXp-Span-8"><span class="MJXp-mstyle" id="MJXp-Span-9"><span class="MJXp-msubsup" id="MJXp-Span-10"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-11" style="margin-right: 0.05em;">u</span><span class="MJXp-mn MJXp-script" id="MJXp-Span-12" style="vertical-align: -0.4em;">1</span></span><span class="MJXp-mo" id="MJXp-Span-13" style="margin-left: 0.333em; margin-right: 0.333em;">=</span><span class="MJXp-mo" id="MJXp-Span-14" style="margin-left: 0.267em; margin-right: 0.267em;">−</span><span class="MJXp-mn" id="MJXp-Span-15">2</span></span></span></span><span id="MathJax-Element-2-Frame" class="mjx-chtml MathJax_CHTML MJXc-processed" tabindex="0" style="font-size: 127%;"><span id="MJXc-Node-10" class="mjx-math"><span id="MJXc-Node-11" class="mjx-mrow"><span id="MJXc-Node-12" class="mjx-mstyle"><span id="MJXc-Node-13" class="mjx-mrow" style="font-size: 144%;"><span id="MJXc-Node-14" class="mjx-msubsup"><span class="mjx-base"><span id="MJXc-Node-15" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.298em;">u</span></span></span><span class="mjx-sub" style="font-size: 70.7%; vertical-align: -0.212em; padding-right: 0.071em;"><span id="MJXc-Node-16" class="mjx-mn" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">1</span></span></span></span><span id="MJXc-Node-17" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.101em; padding-bottom: 0.298em;">=</span></span><span id="MJXc-Node-18" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.445em;">−</span></span><span id="MJXc-Node-19" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">2</span></span></span></span></span></span></span><script type="math/tex" id="MathJax-Element-2">\Large u_1=-2</script> và <span class="MathJax_Preview" style="color: inherit;"><span class="MJXp-math" id="MJXp-Span-16"><span class="MJXp-mstyle" id="MJXp-Span-17"><span class="MJXp-mi MJXp-italic" id="MJXp-Span-18">q</span><span class="MJXp-mo" id="MJXp-Span-19" style="margin-left: 0.333em; margin-right: 0.333em;">=</span><span class="MJXp-mo" id="MJXp-Span-20" style="margin-left: 0.267em; margin-right: 0.267em;">−</span><span class="MJXp-mn" id="MJXp-Span-21">5</span></span></span></span><span id="MathJax-Element-3-Frame" class="mjx-chtml MathJax_CHTML MJXc-processed" tabindex="0" style="font-size: 127%;"><span id="MJXc-Node-20" class="mjx-math"><span id="MJXc-Node-21" class="mjx-mrow"><span id="MJXc-Node-22" class="mjx-mstyle"><span id="MJXc-Node-23" class="mjx-mrow" style="font-size: 144%;"><span id="MJXc-Node-24" class="mjx-mi"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.199em; padding-bottom: 0.495em; padding-right: 0.014em;">q</span></span><span id="MJXc-Node-25" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.101em; padding-bottom: 0.298em;">=</span></span><span id="MJXc-Node-26" class="mjx-mo MJXc-space3"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.445em;">−</span></span><span id="MJXc-Node-27" class="mjx-mn"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.396em; padding-bottom: 0.347em;">5</span></span></span></span></span></span></span><script type="math/tex" id="MathJax-Element-3">\Large q=-5</script>. V

Cho cấp số nhân $\Large (u_n)$ với $\Large u_1=-2$ và $\Large q=-5$ . V

4.6/5

Tác giả: Thầy Tùng

Đăng ngày: 18 Aug 2022

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Lời giải chi tiết

Câu hỏi:

Cho cấp số nhân $\Large (u_n)$ với $\Large u_1=-2$ và $\Large q=-5$ . Viết bốn số hạng đầu tiên của cấp số nhân.

A. -2; 10; 50; -250.
B. -2; 10; -50; 250.
C. -2; -10; -50; -250.
D. -2; 10; 50; 250.

Đáp án án đúng là: B

Lời giải chi tiết:

$\Large \left\{\begin{align} & u_1=-2 \\ & q=-5 \end{align}\right.$ $\Large \rightarrow \left\{\begin{align} & u_1=-2 \\ & u_2=u_1q=10 \\ & u_3=u_2q=-50 \\ & u_4=u_3q=250 \end{align}\right.$ $\Large \rightarrow$ Chọn B.

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