Find the 20th term in the following arithmetic sequence 5, 9, 13, 17

Mathematics

1 answer:

Allushta [10]3 years ago

3 0

It should be 81, 5+4=9, 9+4=13, 13+4=17, and so on

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3 years ago

The sum of the 8th element and the 12th element of an arithmetic progression

jeka94

Answer:

448

Step-by-step explanation:

aₙ = a₁ + (n-1)d

a₈ = a₁ + (8-1)d = a₁ + 7d

a₁₂ = a₁ + 11d

a₈ + a₁₂ = 246 = 2a₁ + 18d a₁ + 9d = 123

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stiks02 [169]

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$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-2}(x-\stackrel{x_1}{2}) \\\\\\ \stackrel{~\hfill y-intercept}{y=-2x\stackrel{\downarrow }{+4}}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$