Consider the sequence of numbers : 2;5;2;9;2;13;2;17;.....
Calculate the sum of the first 100 terms of the sequence
Please help me I begg.
2 is the ODD term in the sequence, and since there are 50 of them, the sum of the ODD terms (Terms 1,3,5,7,9, etc.) is 100 (50 * 2)
The EVEN terms (Terms 2,4,6,8,10, etc.) starts with 5 and since there are 50 of them, we use the following formula for the sum of an AP:
------ Substituting 50 for n (number of terms), , and 4 for d (common difference)
Sum of 1st 100 terms of sequence: