Find the missing terms. Hint: State "r" first

2, , , , 1250

2, 10, 50, 250, 1250

Step-by-step 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

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: