PLEASE HELP HOMEWORK

Option (1)

Step-by-step explanation:

As we know, sum of an infinite geometric series,

Here a = first term of the series

and r = common ratio.

If |r| < 1  Series converges

If |r| ≥ 1  Series diverges

For Option (1),

S = 262 + 301.3 + 346.5.........

Common ratio = = 1.15

Since |r| = 1.15 > 1

Series will diverge

Option (2),

S = 4.2 + 3.57 + 3.0345..........

Common ratio = = 0.85

Since |r| < 1

Series will converge.

Option (3),

S = 6651 + 729 + 81........

Common ratio = = 0.11

Since |r| < 1

Series will converge.

Option (4),

S = 100, 50, 25...........

Common ratio =

Since |r| < 1

Series will converge.

Option (1) will be the answer.

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i