Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

consider the following sequence where $f(1) = 7$. $7, -21, 63, \\dots$ …

Question

consider the following sequence where $f(1) = 7$.
$7, -21, 63, \dots$
enter the next two terms in the sequence in order separated by a comma.
identify the type of sequence

Explanation:

Step1: Find common ratio

$\frac{-21}{7} = -3$, $\frac{63}{-21} = -3$

Step2: Calculate 4th term

$63 \times (-3) = -189$

Step3: Calculate 5th term

$-189 \times (-3) = 567$

Answer:

-189, 567