Mathematics, 09.12.2020 17:40, ashtonviceoxd21i
Jamal is hanging some lights on his house. His ladder is 12 feet long and makes an 80Λ angle with the ground. How high up the wall of his house will his ladder reach? Round your answer to the nearest hundredths place. Just enter a numeric answer, no units needed.
Answers: 3
answered: Guest
, and
for
step-by-step explanation:
we can analyze the pattern at which the terms increase. let us denote , , , so that we can call
1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.note the following:
from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.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
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