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Vitek1552 [10]
3 years ago
14

Consider the sequence 2, 5, 10, 17, ...

Mathematics
2 answers:
melisa1 [442]3 years ago
6 0
A4 means the 4th number
so it is 17
sergeinik [125]3 years ago
3 0

Answer:

The answer is a4=17

Step-by-step explanation:

we have the sequence

2,5,10,17,...

Let

a1-----> the first term

a2----> the second term

a3----> the third term

a4----> The fourth term

In this problem we have

a1=2

a2=5

a3=10

a4=17

therefore

the answer is

a4=17



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Simplify each exponential expression using the properties of exponents and match it to the correct answer.
saveliy_v [14]

1) (2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2 = 2

2) (3^3) (4^0)^2 (3\times2)^-3 (2^2) = 1/2

3) (3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4) = 2

4) (2.3)^-1 (2^0) / (2.3)^-1 = 1

<u>Step-by-step explanation</u>:

Step 1 :

(2\times3^-2)^3 (5\times3^2)^2 / (3^-2)(5\times2)^2

⇒ (2^3) (3^-6) (5^2) (3^4) / (3^-2) (10^2)

⇒ (2.2^2.5^2) (3^-6.3^4) / (3^-2) (10^2)

⇒ (2)(10^2) (3^-2) / (3^-2) (10^2)

⇒ 2

Step 2 :

(3^3) (4^0)^2 (3\times2)^-3 (2^2)

Any number with power 'zero' is 1.

⇒ (3^3) (1^2) (3^-3) (2^-3) (2^2)

⇒ (2^(-3+2))

⇒ 2^-1 = 1/2

Step 3 :

(3^7\times4^7) (2\times5)^-3 (5)^2 / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (12^7) (2^-3) (5^-3) (5^2) / (12^7) (5^-1) (2^-4)

⇒ (2^-3) (5^(-3+2)) / (5^-1) (2^-4)

⇒ (2^-3) (5^-1) / (5^-1) (2^-4)

⇒ 1 / (2^-1)

⇒ 2

Step 4 :

(2.3)^-1 (2^0) / (2.3)^-1

⇒ (2^0)

⇒ Any number with power 'zero' is 1

⇒ 1

8 0
3 years ago
The width of Florida is 4/5 of its length if the length of Florida is about 450 miles what is the approximate width
Vaselesa [24]
4/5 = 0.8

.8 * 450 = 360 miles
3 0
3 years ago
Write the first five terms of the sequence in which the nth term is an = (n+3)!/n+3
Katarina [22]

Answer:

the first five terms are

a1 = 6

a2 = 24

a3 = 60

a4 = 120

a5 = 210

Step-by-step explanation:

the experission used to find the five terms is

an = n3+ 3n2+ 2n

7 0
3 years ago
What is the result when 12x} + 17x² + 18x + 9 is divided by 4x + 3?
melamori03 [73]

Answer:

17x^2+31x+3

Step-by-step explanation:

4 0
3 years ago
What is the solution to 4 x + 6 less-than-or-equal-to 18? x less-than-or-equal-to 3 x less-than-or-equal-to 6 x less-than-or-equ
Nana76 [90]

Answer:

x-less than-or-equal-to 3

Step-by-step explanation:

4x + 6 < 18 (less than or equal to)

4x < 12 (less than or equal to) x < 3 (less than or equal to)

9 0
3 years ago
Read 2 more answers
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