Kaitlyn has to walk, cycle, take the bus and train to get to the office. kaitlyn first takes her cycle to travel 1/10
of the total distance to the bus stop. the bus takes her another 1/5
of the distance. kaitlyn then takes a train to travel
120.575 kilometres. and finally, she walks 3/80
from the station to her office. what is the total distance from her house to the office
?

idk

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for