Question

Express the sum using summation notation. 1²+2²+3²+4²+5²+6²

Answer 1

The sum 1²+2²+3²+4²+5²+6² can be expressed using summation notation as ∑(n=1 to 6) n².

Step-by-step explanation:

The given expression is 1²+2²+3²+4²+5²+6². We can express this sum using summation notation as:

∑(n=1 to 6) n²

This notation represents the sum of n² as n takes on values from 1 to 6. To evaluate this sum:

1. Replace n with each value from 1 to 6.
2. Square each value of n.
3. Add all the squared values together.

Plugging in the values, we get:

∑(n=1 to 6) n² = 1² + 2² + 3² + 4² + 5² + 6²

= 1 + 4 + 9 + 16 + 25 + 36

= 91