What is the 6th term in the geometric sequence described by this explicit formula?

Mathematics

2 answers:

Sphinxa [80]3 years ago

8 0

Answer:

-5120 that is Option C is correct.

Step-by-step explanation:

We have been given the explicit formula we need to find the 6th term of the geometric sequence from the given formula.

The formula is: $a_n=-5\cdot (4)^{n-1}$

To find 6th term we will put n=6 in the formula given we will get:

$a_6=-5\cdot 4^{6-1}$

After simplification we get:

$a_6=-5\cdot 4^5$

After further simplification we will get:

$a_6=-5120$

Therefore, Option C is correct.

mixer [17]3 years ago

5 0

Answer:

option C

Step-by-step explanation:

You might be interested in

The sum of two numbers is 200 and the two numbers are in a ratio of 4:6 find the larger number

devlian [24]

X = 1st number
y = 2nd number

x + y = 200
x : y = 4 : 6

ok! let's substitute numbers!

4 * 10 : 6 * 10

40 : 60

40 + 60 = 200

100 ≠ 200

Too small!

That is exactly two times smaller than 200 so let's try 2 times greater than multiplying by 10

4 * 20 : 6 * 20
80 : 120

80 + 120 = 200

200 = 200

Now it says to find the larger number. Which is y.

x :y = 4 : 6 = 80 : 120

so, y is 120

y = 120

Answer : y = 120. The larger number is 120.

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3 years ago

8. If 5/12.5 is equivalent to -4/2x, what is the value of x?

egoroff_w [7]

Answer:

-5

Step-by-step explanation:

$\frac{5}{12.5} = \frac{-4}{2x}$