Question

1 the first six terms of a sequence are shown on the graph. write the explicit formula to represent the sequence.
$f(1) = $ ____ common difference/ratio = ____
$f(n) = $________________
2 andres makes a tile pattern with six figures that follows a geome... figure 1 has 6 tiles and figure 4 has 162 tiles. write the explicit formula for the sequence.
$f(1) = $ ____ common ratio = ____
$f(n) = $________________
3 every night, kaylen reads some chapters of a new book. on the first night, kaylen reads 5 chapters. each additional night, kaylen reads 3 chapters. which equations model how many chapters kaylen reads after $n$ nights? select all that apply.
a $y = 2 + 3n$
b $y = 3n + 2$
c $f(n) = 3 + 5(n - 1)$
d $f(n) = 5 + 3(n - 1)$
e $f(1) = 3; f(n) = f(n - 1) + 5$ for $n \geq 2$
f $f(1) = 5; f(n) = f(n - 1) + 3$ for $n \geq 2$

Explanation:

Answer:

1. $f(1) = 10$; common difference $= -2$; $f(n) = 10 - 2(n - 1)$
2. $f(1) = 6$; common ratio $= 3$; $f(n) = 6(3)^{n-1}$
3. A. $y = 2 + 3n$, B. $y = 3n + 2$, D. $f(n) = 5 + 3(n - 1)$, F. $f(1) = 5; f(n) = f(n - 1) + 3$ for $n \ge 2$