Math, asked by zenco, 1 year ago

find the sum of the consecutive cube upto 45 cube

Answers

Answered by karthikkattojup6118q
100
formula:
sum of consecutive cubes upto 'n'=
 ({ \frac{n(n + 1)}{2} })^{2}
so,sum upto 45³
={(45)(46)/2}²
={(45)(23)}²
=(1035)²
=10,71,225.
hope it'll help
mark it as brainliest..
Answered by chandresh126
50

Answer:

The sum of the consecutive cube up to 45 cube is 1,071,225 .

Step by step explanation:

Hey Mate,

The sum of the consecutive cube = 1³ + 2³ + 3³ + 4³ + 5³ ....... + n³.

=>  \frac{(n)^{2}(n+1)^{2}}{4}

So, The sum of consecutive cube up to 45 cube is

1³ + 2³ + 3³ + 4³ + 5³ ....... + 45³

=> \frac{(45)^{2}(45+1)^{2}}{4}

=> \frac{(4284900)}{4}

=> 1,071,225

The sum of the consecutive cube up to 45 cube is 1,071,225 .

Similar questions