Advertisements
Advertisements
Question
If 13 + 23 + 33 + ... + k3 = 44100 then find 1 + 2 + 3 + ... + k
Solution
If 13 + 23 + 33 + … + k3 = 44100
1 + 2 + 3 + … + k = `sqrt(44100)`
= 210
APPEARS IN
RELATED QUESTIONS
Find the sum of the following series
1 + 2 + 3 + ... + 60
Find the sum of the following series
1 + 4 + 9 + 16 + ... + 225
Find the sum of the following series
62 + 72 + 82 + ... + 212
Find the sum of the following series
103 + 113 + 123 + ... + 203
Find the sum of the following series
1 + 3 + 5 + ... + 71
How many terms of the series 13 + 23 + 33 + … should be taken to get the sum 14400?
The sum of the cubes of the first n natural numbers is 2025, then find the value of n
Rekha has 15 square colour papers of sizes 10 cm,11 cm,12 cm, …, 24 cm. How much area can be decorated with these colour papers?
The value of (13 + 23 + 33 + ... + 153) – (1 + 2 + 3 + ... + 15) is
The value of a motorcycle depreciates at a rate of 15% per year. What will be the value of the motorcycle for 3 year hence, which is now purchased for ₹ 45,000?