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Ratio Expression Evaluation (Posted on 2023-10-19) Difficulty: 3 of 5
Find the value of this expression:
1*22+2*32+3*42+..........+2023*20242
-------------------------------------
12*2+22*3+32*4+..........+20232*2024

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Computer solution | Comment 1 of 4
It likely is very close to 2024/2023 which is about 1.0004943153732082

Numerator 4196864618100
Denominator 4194100795500
The ratio calculates to 1.000658978583196

-----------
def ratio(n):
    num = 0
    den = 0
    for i in range(1,n+1):
        num += i * (i+1)**2
        den += i**2 * (i+1)
    print('Numerator',num)
    print('Denominator',den)
    return num/den

print('The ratio calculates to', ratio(2023))

  Posted by Larry on 2023-10-19 12:05:09
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