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3 years ago

My geometric sequence is 16,-3.2,0.64,-0.128..what is the 7th term

Mathematics

1 answer:

USPshnik [31]3 years ago

6 0

Answer:

Step-by-step explanation:

In a geometric sequence, the nth term is

T_n = ar^(n-1)

a = first term

r = common ratio which can be gotten by dividing second term by first term, third term by second term etc

Therefore

a = 16

r = -3.2 ÷ 16

r = -0.2

T_7 = ar^(7-1)

T_7 = ar^6

T_7 = 16[(-0.2)^6]

T_7 = 16(0.000064)

T_7 = 0.001024

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The temperature was 6° C.<br> By how much has it fallen if it is now -5° C?

Butoxors [25]

Answer:

11 °C

Step-by-step explanation:

Initial temperature = 6 °C
Final temperature = - 5°C
Change in temperature

= 6 - (-5)

= 6 + 5

= 11 °C

Hope it helps you in your learning process.

8 0

2 years ago

Read 2 more answers

Find the principal needed now to get to $25,500 after 10 years at 6% compounded continuously

Inessa05 [86]

Answer: $14239.07

Explanation:

A=P(1+I)^n

25500=P(1+0.06)^10

25500=P(1.06)^10

25500÷(1.06)^10=P

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6 0

3 years ago

Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C

Mama L [17]

Total number of pizzas Juan ordered $20$

Since, $45\%$ of pizzas have $8$ slices.

Therefore, number of pizzas with $8$ slices are: $45\%\times(20)$

$=\frac{45}{100} \times(20)$

$=\frac{45}{10} \times(2)$

$=\frac{90}{10}$

$=9$ pizzas

Also, since, $55\%$ of pizzas have $12$ slices.

Therefore, number of pizzas with $12$ slices are: $55\%\times(20)$

$=\frac{55}{100} \times(20)$

$=\frac{55}{10} \times(2)$

$=\frac{110}{10}$

$=11$ pizzas

Now, there are $9$ pizzas with $8$ slices and $11$ pizzas with $12$ slices.

Therefore, total number of slices of pizza are: $=(9)(8)+(11)(12)$

$=72+132$

$=204$ slices

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3 years ago

A spherical ball has a diameter of 12 inches. The ball has a slow leak in which air escapes at the rate of 4.5 cubic inches per

stellarik [79]

Answer:

Step-by-step explanation:

It would be 54 because 12*4.5 = 54.

6 0

3 years ago

Solve the equation. show all work<br><br> 18^(r-10)=93

Elina [12.6K]

Recall the logarithm rules :

a^y = x is the same as log_a x = y

In this case,

a = 18
y = r - 10
x = 93

So,

18^ (r-10) = 93

is the same as

log_18 93 = r - 10

Solve for r to get :

10 + log_18 93 = r

3 0

3 years ago