Question

See picture below. What is the difference between 4∑n=1 2n+1 and 4∑i=1 (2i+1)?

Answer 1

Answer:

3

Step-by-step explanation:

$\sum 2n+1= \boxed{\big( \sum_{i=1} ^{4}2n \big) +1}$

And,

$ \sum (2i+1)= \sum (2i)+ \sum_{i=1} ^{4} (1) $

$=\sum_{i=1} ^{4}(2i) + 1+1+1+1 $

$=\boxed{\Big(\sum_{n=1} ^{4}(2n)\Big) +4}.... \text{Variable in Summation doesn't matter}$

Hence the difference is 3.