Home
Class 12
MATHS
Evaluate sum(k=0)^(5)k^(2)...

Evaluate `sum_(k=0)^(5)k^(2)`

Text Solution

AI Generated Solution

To evaluate the sum \( \sum_{k=0}^{5} k^2 \), we can follow these steps: ### Step 1: Understand the summation The summation notation \( \sum_{k=0}^{5} k^2 \) means we need to add the squares of all integers from \( k = 0 \) to \( k = 5 \). ### Step 2: Expand the summation We can write out the terms of the summation: \[ ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ENGLISH SAT|Exercise EXERCISES|5 Videos

  • SAT MATH STRATEGIES

    ENGLISH SAT|Exercise EXAMPLE|69 Videos

  • SOLVING POLYNOMIAL INEQUALITIES

    ENGLISH SAT|Exercise EXERCISES|3 Videos

Similar Questions

Explore conceptually related problems

sum_(k=0)^(5)(-1)^(k)2k

Evaluate sum_(k=1)^(11)(2+3^k)

If for n in N ,sum_(k=0)^(2n)(-1)^k(^(2n)C_k)^2=A , then find the value of sum_(k=0)^(2n)(-1)^k(k-2n)(^(2n)C_k)^2dot

Evaluate : sum_(k=1)^n (2^k+3^(k-1))

The value of sum_(k=0)^(7)[(((7),(k)))/(((14),(k)))sum_(r=k)^(14)((r ),(k))((14),(r ))] , where ((n),(r )) denotes "^(n)C_(r ) is

Find the value of the sum_(k=0)^359 k.cos k^@ .

Find the sum sum_(k=0)^(10).^(20)C_k .

Prove that sum_(k=0)^(9) x^(k)"divides" sum_(k=0)^(9) x^(kkkk)

Find the largest real value of x such that sum_(k=0)^4((3^(4-k))/((4-k)!))((x^k)/(k !))=(32)/3 .

Find the value off sum_(k=1)^10(2+3^k)