Question

Express each sum using summation notation use 1 as the lower limit of summation and i for the index of summation:1+3+5+... (2n-1)

Answer 1

Step-by-step explanation

We must express a summation, with i index and lower limit 1, the following sum:

`1+3+5+...+(2n-1).`

We can write the terms as:

`(2*1-1)+(2*2-1)+...+(2*i-1)+...+(2*n-1).`

We see that the general term is (2i - 1) and the upper limit is n. So the sum is:

`\sum_{i\mathop{=}1}^n(2i-1).`Answer
`\sum_{i\mathop{=}1}^n(2i-1)`