Question

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

Answer 1

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.