Question

If we wanted to give the summation notation for the sum of the first 1000 terms of the sequence {ai}, where ai = 4i % 3 for i = 1, 2, 3, ..., what would the index of summation be?

Answer 1

The index of summation for the sum of the first 1000 terms of the sequence {ai} = 4i % 3 is ∑(4i % 3) from i = 1 to i = 1000.

Step-by-step explanation:

The sequence is defined as {ai} = 4i % 3 for i = 1, 2, 3, ... We want to find the summation notation for the sum of the first 1000 terms of this sequence.

The index of summation can be represented as ∑(4i % 3) from i = 1 to i = 1000.