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divanov
06.09.2020 •
Mathematics
The triangular numbers are the following: T1 = 1, T2 = 3, T3 = 6, T4 = 10, ...
They are called triangular numbers because you can think of the number as a series of dots which can be arranged into a triangle as shown below:
T1 =1
T2 = 3
T3=6
T4=10
The formula for the nth triangular number is Tn = n(n+1)/2. For example, the fourth triangular number is 10, so T4 = 10.
1953 is a triangular number. Which one is it?
For example, if 1953 happened to be the 4th triangular number (which of course it's not), your answer would be 4.
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Ответ:
T62
Step-by-step explanation:
Tn = n(n + 1)/2
1953 = n(n + 1)/2
n(n + 1) = 3906
n^2 + n - 3906 = 0
(n + 63)(n - 62) = 0
n = -63 or n = 62
T62
Ответ: