Ask Question
27 July, 19:08

If $ (a_1, a_2,/ldots, a_{17}) $ satisfy / begin{align*} a_1 + a_2 + a_3 & = 1, / / a_2 + a_3 + a_4 & = 2, / / a_3 + a_4 + a_5 & = 3, / / & ~~/vdots / / a_{15} + a_{16} + a_{17} & = 15, / / a_{16} + a_{17} + a_{1} & = 16, / / a_{17} + a_{1} + a_{2} & = 17, / end{align*} what is the value of $a_{17}$?

+5
Answers (2)
  1. 27 July, 20:13
    0
    In this case, your best bet is to use align * for the outer alignment (the = signs), and aligned for the inner one (the + signs) : this is because / begin{aligned} ... / end{aligned} is designed to be nested within other kinds of display math. However, you also want to vertically align the inner one (at the pluses) with the outer one, so you'll write it as / begin{aligned}[t] ... / end{aligned}. Here's what it looks like in code: / documentclass{article} / usepackage{amsmath} / begin{document} / begin{align*} A_1 & = / begin{aligned}[t] a_1 & + a_2 + a_3 + a_4 + a_5 + a_6 + a_7 / / & + a_8 + a_9 + a_{10} + a_{11} + a_{12} + a_{13} / / & + a_{14} + a_{15} + a_{16} + a_{17} + a_{18} + a_{19} / end{aligned} / / A_2 & = / begin{aligned}[t] a_2 & + b_2 + b_3 + b_4 + b_5 + b_6 + b_7 / / & + b_8 + b_9 + b_{10} + b_{11} + b_{12} + b_{13} / / & + b_{14} + b_{15} + b_{16} + b_{17} + b_{18} + b_{19} / end{aligned} / end{align*} / end{document}
  2. 27 July, 21:28
    0
    I dont understand this rn
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “If $ (a_1, a_2,/ldots, a_{17}) $ satisfy / begin{align*} a_1 + a_2 + a_3 & = 1, / / a_2 + a_3 + a_4 & = 2, / / a_3 + a_4 + a_5 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers