Answer:
an = −1,171,875(1/5)^n-1
Step-by-step explanation:
The given sequence is geometric sequence since they have the same common ratio r. The nth term of a geometric sequence is expressed as;
an = ar^n-1
n is the number of terms
r is the common ratio
a is the first term
From the sequence;
a = −1,171,875
r = −234,375 /−1,171,875 = -46,875/−234,375 = 0.2
r = 1/5
Substitute the values in the formula;
an = −1,171,875(1/5)^n-1
Hence the required explicit formula is an = −1,171,875(1/5)^n-1