Question

find the first five terms of the sequence defined by
$a_n=-10n - 2$
enter your answers separated by commas and surrounded by braces in the form
${a_1,a_2,a_3,a_4,a_5}$ and in this order.

Explanation:

Step1: Find \(a_1\)

Substitute \(n = 1\) into \(a_n=-10n - 2\).
\(a_1=-10\times1 - 2=-10 - 2=-12\)

Step2: Find \(a_2\)

Substitute \(n = 2\) into \(a_n=-10n - 2\).
\(a_2=-10\times2 - 2=-20 - 2=-22\)

Step3: Find \(a_3\)

Substitute \(n = 3\) into \(a_n=-10n - 2\).
\(a_3=-10\times3 - 2=-30 - 2=-32\)

Step4: Find \(a_4\)

Substitute \(n = 4\) into \(a_n=-10n - 2\).
\(a_4=-10\times4 - 2=-40 - 2=-42\)

Step5: Find \(a_5\)

Substitute \(n = 5\) into \(a_n=-10n - 2\).
\(a_5=-10\times5 - 2=-50 - 2=-52\)

Answer:

\(\{-12, -22, -32, -42, -52\}\)