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Bond [772]
3 years ago
6

Find sequence 10 5/22, 9, 7 17/22, ___, 5 7/22

Mathematics
1 answer:
larisa [96]3 years ago
7 0

Answer:

6⁶/11

Step-by-step explanation:

adding -27/22 to the previous number will give you the next number in the sequence

10 5/22 + -27/22 = 9

9 + -27/22 = 7 17/22

7 17/22 + -27/22 = 6 6/11

6 6/11 + -27/22 = 5 7/22

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A recursive rule for an arithmetic sequence is a1=4;an=an−1−3 . What is the explicit rule for this sequence? Enter your answer i
Westkost [7]

Answer:

The explicit rule for the arithmetic sequence is given by:

a_n = a_1+(n-1)d       ......[1]

where,

a_1 is the first term

n is the number of terms and

d is the common difference for two consecutive terms.

As per the statement:

A recursive rule for an arithmetic sequence is:

a_1 = 4

a_n = a_{n-1}-3

The recursive formula for the arithmetic sequence is given by:

a_n = a_{n-1}+d

then;

On comparing we get;

d = -3

Substitute the given values in [1] we have;

a_n = 4+(n-1)(-3)

⇒a_n = 4 -3n+3 = 7-3n

Therefore, the explicit rule for this sequence is, a_n = 7 -3n

5 0
3 years ago
3.468 in scientific notation ​
USPshnik [31]

Answer:

3.468 × 10^3

Step-by-step explanation:

5 0
3 years ago
The local museum had 10,000 visitors in 1995.
lora16 [44]

Answer:

Step-by-step explanation:

Vbvvbnn. N m

4 0
3 years ago
HELP!! Is –41/2 equivalent to (–4)1/2? Why or why not?
Oliga [24]
No, they are not equivalent. The first term, -4 1/2 equals 4 whole units and one half unit. All negative. So it’s like you have someone 4 and 1/2 dollars.

The second term, (-4)1/2 means multiplying -4 times 1/2. Doing the multiplication for this gives you -4/2. Solving the division here is -2. It’s taking away 1/2 dollar 4 times.

I hope this helped. Happy to answer any questions you have.
8 0
3 years ago
The Pythagorean Theorem can be applied to what kind of triangles?
ololo11 [35]
Right triangles. This only works if it's a right triangle, cuz right triangles have hypotenuses.
7 0
3 years ago
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