3 years ago

The nth term of a sequence is given by 12 - 5n. Write down the first 3 terms of the sequence.

Mathematics

1 answer:

zysi [14]3 years ago

6 0

Answer:

$\bold{a_1=7\,,\quad a_2=2\,,\quad a_3=-3}$

Step-by-step explanation:

$a_n=12-5n\\\\\\a_1=12-5\cdot1=12-5=7\\\\a_2=12-5\cdot2=12-10=2\\\\a_3=12-5\cdot3=12-15=-3$

You might be interested in

The end points of a diameter of a circle are (-6,2) and (10,-2). What are the coordinates of the center of the circle?

lozanna [386]

Check the picture below.

if we know the endpoints of the circle, then its center must be the midpoint of those two endpoints.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-6}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{-2}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{10-6}{2}~~,~~\cfrac{-2+2}{2} \right)\implies \left( \cfrac{4}{2}~~,~~\cfrac{0}{2} \right)\implies (2~~,~~0)$