126k views
4 votes
The sum, sn, of a sequence is given by sn = 2n^2 - 5. Find the 6th term.

A. 67
B. 83
C. 101
D. 121

1 Answer

4 votes

Final answer:

The sum of the sequence is given by sn = 2n^2 - 5. By calculating s6 and s5 then subtracting these, the 6th term is found to be 83.

Step-by-step explanation:

The student is given the formula sn = 2n2 - 5 for the sum of the first n terms of a sequence and is asked to find the 6th term of the sequence. To find the 6th term, first calculate the sum of the first 6 terms using the given formula, which is s6 = 2(6)2 - 5.

Then find the sum of the first 5 terms, s5 = 2(5)2 - 5. The 6th term is then s6 minus s5, which yields 83 as the 6th term of the sequence.

User Scott Greenfield
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.