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bearhunter [10]
3 years ago
13

Priyanka and Ethan were asked to find an explicit formula for the sequence -3,-14,-25,-36,...

Mathematics
1 answer:
irga5000 [103]3 years ago
3 0

Answer:

a_{n} = 8 - 11n

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

here a = - 3 and

d = - 14 - (- 3) = - 14 + 3 = -11, thus

a_{n} = - 3 - 11(n - 1)

                        = - 3 - 11n + 11

                        = 8 - 11n

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Which logarithmic equation is equivalent to the exponential equation below? E^a=35
oee [108]

Answer:

a = ln 35

Step-by-step explanation:

Given e^a = 35, take the natural log of both sides, obtaining:

ln e^a = ln 35. Recall that ln e^x = x, which means that ln e^a = a.

Then a = ln 35.

Next time, please share the answer choices!

7 0
3 years ago
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Which symbol correctly compares the fractions below?<br> 1/8 ? 1/2
antoniya [11.8K]

Answer:

<

Step-by-step explanation:

1/2 = 4/8

=> 1/8 < 4/8

=> 1/8 < 1/2

6 0
3 years ago
How do you simplify Radicals?<br>√180v^4​
julsineya [31]

Here are the steps required for Simplifying Radicals:

Step 1: Find the prime factorization of the number inside the radical. Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Also factor any variables inside the radical.

Step 2: Determine the index of the radical. The index tells you how many of a kind you need to put together to be able to move that number or variable from inside the radical to outside the radical. For example, if the index is 2 (a square root), then you need two of a kind to move from inside the radical to outside the radical. If the index is 3 (a cube root), then you need three of a kind to move from inside the radical to outside the radical.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. If there are nor enough numbers or variables to make a group of two, three, or whatever is needed, then leave those numbers or variables inside the radical. Notice that each group of numbers or variables gets written once when they move outside the radical because they are now one group.

Step 4: Simplify the expressions both inside and outside the radical by multiplying. Multiply all numbers and variables inside the radical together. Multiply all numbers and variables outside the radical together.

Shorter version:

Step 1: Find the prime factorization of the number inside the radical.  

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

7 0
3 years ago
The circumference of the
Tju [1.3M]

To the nearest inch it'll be

d×3.14=63

= 20 inches

8 0
3 years ago
The area of this figure is ? square inches​
Stolb23 [73]

Answer:

946 sq inches

Step-by-step explanation:

28*7=196

30*25=750

750+196=946 i think thats how you do it lol

(=^w^=)

6 0
3 years ago
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