Find the 6th term in the geometric sequence with t3 = 150 and t5 = 3750.

The 6th term in the geometric sequence is either 18750 or -18750.

Step-by-step explanation:

Given information: In the given GP

The nth term of a GP is

where, a is first term and r is common ratio.

Third term of the GP is 150, so

         .... (1)

Fifth term of the GP is 3750, so

         .... (2)

Divide equation (2) by equation (1).

The value of common ratio is either 5 or -5.

Put the value of r² in equation (1).

The first term of the GP is 6.

If the first term of GP is 6 and common difference is 5, then 6th term is

If the first term of GP is 6 and common difference is -5, then 6th term is

Therefore the 6th term in the geometric sequence is either 18750 or -18750.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

351.23

step-by-step explanation: