Answer:
The next 2 terms in the sequence are 1875 and -9375.
Step-by-step explanation:
Here, the given sequence is: 3, -15, 75, -375
Consider this sequence as two alternate sequence.
Sequence A is 3, 75
Sequence B is -15, - 375
In both the sequence, the Next term = Preceding term x 25
⇒The third term in sequence A = 25 x Second Term
= 25 x 75 = 1875
and The third term in sequence B = 25 x Second Term
= 25 x -375 = -9375
So, the next 2 terms in the sequence are 1875 and -9375.
Hence, the complete sequence is given as : 3, -15, 75, -375 , 1875, -9375
