In a race that consisted of three parts, the cycling part was 12 1/2 miles long. the running part of the race was 1/4 the distamce pf the cycling part. the kayaking part of the race was 1/2 the distance of the running part. what was thwe entire distance, in miles of the race?

, 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

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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