Which series is convergent? Check all that apply.

The convergent series are;

(And)

Step-by-step explanation:

A series in mathematics is the sum of a sequence of numbers to infinity

A convergent series is a series that sums to a limit

From the given options, we have;

First option

As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges

Second option

As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges

Third option

As 'n' increases, , becomes more smaller and tend to '0', therefore, the series converges

Fourth option

As 'n' increases, , becomes more smaller and tend to '0', therefore, the series converges

Fifth option

As 'n' increases, , becomes more larger and tend to infinity, therefore, the series diverges.

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3