Question

100th term for 5, 2, -1

Answer 1

100th term = -1485

Explanation:

Arithmetic Progressionthe

nth term, Tn:

`t_(n) = a + (n - 1)d`

n = number of terms

= 100

a = first term

= 5

d = difference

= second term - first term

= 2 - 5

= -3

substitute the values into the formula

`t_(100) = 5(100 - 1)( - 3)`

`t_(100) = 5(99)( - 3)`

`t_(100) = 495( - 3)`

`t_(100) = - 1485`