|
|
|
|
|
|
|
|
|
Method and examples
|
|
|
|
Geometric Progression |
|
|
|
|
|
|
Problem 23 of 23 |
|
|
|
23. Find n terms, where a = , b = and n = .
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Solution
|
Solution provided by AtoZmath.com
|
|
|
This is demo example. Please click on Find button and solution will be displayed in Solution tab (step by step)
| Geometric Progression |
23. Find `1^2 + 2^2 + ... 10` terms, ( Find `a^2 + b^2 + ... n` terms, where a = 1 , b = 2 and n = 10 . )
Here Find ` 1^2 + 2^2 + 3^2 + ... 10 "terms" `
`= sum i^2` (where `i = 1,...,10`)
`= (n (n + 1)(2n + 1)) / 6` (where `n = 10`)
`= (10 (10 + 1) (2×10 + 1)) / 6 `
`= (10 × 11 × 21) / 6`
`= 5 × 11 × 7`
`= 385`
|
|
|
|
|
|
|
Share this solution or page with your friends.
|
|
|
|
