Question

Find the 91st term of the arithmetic sequence 4, 6, 8, ...4,6,8,...

a) 362
b) 364
c) 366
d) 368

Answer 1

The 91st term of the arithmetic sequence is 184.

Step-by-step explanation:

To find the 91st term of an arithmetic sequence, you can use the formula:

nth term = first term + (n - 1) * common difference

In this case, the first term is 4 and the common difference is 2 (since each term increases by 2). Substituting these values into the formula:

91st term = 4 + (91 - 1) * 2

91st term = 4 + 90 * 2

91st term = 4 + 180

91st term = 184

Therefore, the 91st term of the arithmetic sequence is 184. So, the answer is d) 368.