Consider the following series. 1/4 + 1/8 + 1+12 + 1/16 + 1/20

Required:
Determine whether the geometric series is convergent or divergent.

The series is convergent.

Step-by-step explanation:

1/4 + 1/8 + 1+12 + 1/16 + 1/20

In each term, the numerator stays 1, while the denominator is multiplied by 4. Thus, the series is given by:

Convergence test:

We compare the sequence of this test, , with a sequence .

If , the series is convergent. So

As the limit is different of zero, the series is convergent.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total