Question

Write the series with summation notation. 6+12+18+ . . . +96

Answer 1

You're adding 6, starting with 6 and ending with 96. Break down summation notation in your head. The sum \[\sum_{i=1}^n i\] is read as "the sum, from i=1 to n, of the operation 'i'"--this is just \[1 + 2 + 3 + 4 + \ldots + n\]Keep in mind that there are an infinite number of ways of writing the same sum in series notation. The above is the same as writing \[\sum_{i=0}^n i + 1 = \sum_{i=100}^n i - 99 = \ldots \]
So back to our sequence, we're adding + 6, + 12, + 18, + ... and ending with 96. This is the same as 6(1) + 6(2) + 6(3) + ... + 6(16). So we have the "the sum, from i = 1 to 16, of the operation 6i." We'd write that as \[\sum_{i=1}^{16} 6i\]

Answer 2

so the answer is ? @bhl6180

Answer 3

The answer is the last thing. It's just asking you to rewrite that series.