All categories

2 years ago

Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5

Mathematics

1 answer:

Fynjy0 [20]2 years ago

5 0

Answer:

a(6) = 37.97

Step-by-step explanation:

If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is

a(n) = 5*r^(n - 1).

Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97

You might be interested in

A condominium building has 25 condo units. Each unit has 5 windows. Ryder said that there are 125 windows altogether.

crimeas [40]

The answer is B, 30 x 5 The answer is reasonable. Ryder is correct. It reasonable because if 25 x 5 is 125, then 30 x 5 won't be too much to be unreasonable. 30 x 5 is 150, therefore it is only 25 windows higher, so it is reasonable. Hope this helps! :)

3 0

3 years ago

Paul and Jim work at a t-shirt factory. They pack t-shirts in boxes and send them

Gwar [14]

Answer:

Jim's box hold more t-shirts by 3 cubic feet

Step-by-step explanation:

Jim's box length = 2 feet

Jim's box breadth = 4 feet

Jim's box height = 6 feet

Volume of box = $Length \times Breadth \times Height = 2 \times 4 \times 6 = 48 feet^3$

Paul's box length = 3 feet

Paul's box breadth =5 feet

Paul's box height = 3 feet

Volume of box = $Length \times Breadth \times Height =3 \times 5 \times 3 = 45 feet^3$

So,Jim's box hold more t shirts by (48-45 = 3 cubic feet )

So, Option C is true

Jim's box hold more t-shirts by 3 cubic feet

3 0

3 years ago

What are the prime factors of 117?

garik1379 [7]

The answer is

3^2 times 13

3 0

3 years ago

Read 2 more answers

Write an algebraic expression for “5 times the sum of a number and 3”

Firdavs [7]

Answer:

5(x+3)

Step-by-step explanation:

3 0

3 years ago

What is the divisor if the Quotient is 55 and the dividend is 330

Ulleksa [173]

Answer:

18150

Step-by-step explanation:

330*55=18150

6 0

3 years ago