Answer: 2, 10, 50, 250, 1250
Explanation:
The given sequence is a geometric sequence. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 2
n = 5
T5 = 1250
The 5th term, T5 is expressed as
1250 = 2 × r^(5 - 1)
1250/2 = r^4
625 = r^4
5^4 = r^4
r = 5
The second term is
2 × 5 = 10
The third term is
10× 5 = 50
The fourth term is
50 × 5 = 250