To find where the term −234,375 belong, we need to find the sequence for the nth term:
The sequence given is 3, −15, 75, −375,
Looking at the sequence we can see that if we multiply by 5 each term, it will result in the next number on the sequence.
For example:
3* 5 =15
15 * 5 = 75
75* 5 = 375
Now, we need to use the negative sign:
a2 = 3*-5 = -15
a3 = -15 * -5 = 75
a4= 75 * -5 = -375
a5= -375 * -5 = 1875
a6 = 1875* -5 = -9375
a7 = -9375* -5 = 46875
a8 =46875 * -5 = -234,375
