Question

Find the 99th term of the arithmetic sequence 2, - 3, - 8

Answer 1

To find the nth term of an arithmetic sequence, we can use the formula:

a_n = a_1 + (n-1)d

Where:
a_n = nth term
a_1 = first term
d = common difference
n = term number

In this case:
a_1 = 2
d = -3 - 2 = -5
n = 99

Plugging the values into the formula:

a_99 = 2 + (99-1)(-5)
a_99 = 2 + 98(-5)
a_99 = 2 - 490
a_99 = -488

Therefore, the 99th term of the arithmetic sequence 2, -3, -8 is -488.