# List the first four terms of a geometric sequence with t1 = 4 and tn = -3tn-1

*print*Print*list*Cite

Expert Answers

sciencesolve | Certified Educator

Since the problem provides the first term of the geometric sequence, `t_1 = 4` , you need to evaluate the next three terms t_2,t_3,t_4, using the recurrence relation provided, `t_n = -3*t_(n-1)` , such that:

`t_2 = -3*t_1 => t_2 = -3*4 => t_2 = -12`

`t_3 = -3*t_2 => t_3 = -3*(-12) => t_3 = 36`

`t_4 = -3*t_3 => t_4 = -3*36 => t_4 = -108`

**Hence, evaluating the first 4 terms of the geomteric sequence, under the given conditions, yields **`t_1 = 4, t_2 = -12, t_3 = 36, t_4 = -108.`

Further Reading: