Answer for Day 24 Math Problem
101st Monday 🎯
The problem is in arithmetic series under algebra. It requires a bit of "trial and error" (or better said as "guess and check"), since we don't have the nth term of the series.
The formula for the sum of arithmetic series is the following:
S = n * (a1 + an) / 2
where
- S = sum of the terms
- n = number of terms
- a1 = first term
- an = nth term
We also need the nth term of the series. The formula for the nth term of an arithmetic sequence is the following:
an = a1 + (n - 1) * d
where
- d = common difference
We know that if the common difference is 0, n is exactly 200. Therefore, we can start making guesses by dividing n by 2, which gives us n = 100.
First, we need to get the value of the nth term. The common difference of the arithmetic series is 10, which is obtained by getting the difference between any two consecutive terms in the series.
an = a1 + (n - 1) * d
an = 500 + (100 - 1) * 10
an = 1490
By testing n = 100, we get the following:
S = 100 * (500 + 1490) / 2
S = 99500
99,500 is very close to 100,000. If we add the 101st term which is 1,500, the cumulative amount is 101,000. We now have an answer.
In the original problem, Turner would have vested at least 100,000 Hive Power on the 101st Monday.
Winner: @jfang003 🏅
1 HIVE has been sent to @jfang003's Hive account. 💰
Mentions: @holovision, @ahmadmanga (@ahmadmangazap), and @eturnerx (@eturnerx-dbuzz) 🤔
Special mentions: @chrisrice, @jancharlest, and @minus-pi
- P.S. I just noticed that I could make subscripts using the < sub > and < /sub > tags (without the spaces) in mark-up language (same goes with superscripts for exponents using the < sup > and < /sup > tags).