How do I solve these problems

this is a geometric sequence with common ratio r

r = = = = 3

(a)

to obtain a term in the sequence multiply the previous term by 3

= 3 ← recursive rule

(b)

the n th term of a geometric sequence is

=

where is the first term and r the common ratio

= 6 × ← explicit rule

ken can walk dogs in 121212 hours.

step-by-step explanation:

this can be calculated by using ratios:

hint : if the answer asks for how many dogs then use the number of dogs as numerator and number of hours as denominator. if the answer asks for number of hours then use number of hours as numerator and number of dogs as denominator.

ratio of number of dogs walked per hour =

                                                                      =

which means ken can walk 455 dogs per hour.

to find how many dogs ken can walk in 121212 hours we have to multiply number of dogs ken can walk per hour by 121212.

⇒ dogs per hour * hours

= dogs

therefore,

ken can walk dogs in 121212 hours.

domain: ( - ∞,∞), {x l x ∈   r}

range is (-∞,∞), {y l y ∈   r}

i hope this