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Find the next terms in each sequence.Then, write the rule for finding the nth term.

1.10,20,30,40,__
Rule:_________

2.1/3, 3/3, 5/3, 7/3,__
Rule:_________

3.4,16,64,256,__
Rule:_________

4.32,28,24,20,__
Rule:_________

5.3/8, 1, 13/8, 18/8,__
Rule:__________​


Sagot :

Answer:

1. 10, 20, 30, 40, 50

Rule: +10

2. 1/3, 3/3, 5/3, 7/3, 3

Rule: + 2/3

3. 4, 16, 64, 256, 1024

Rule: x4

4. 32, 28, 24, 20, 16

Rule: -4

5. 3/8, 1, 13/8, 18/8, 2 7/8

Rule: + 5/8

Step-by-step explanation:

following the pattern

Answer:

1. 10, 20, 30, 40, 50

Rule : Arithmetic sequence (add 10)

2. 1/3, 3/3, 5/3, 7/3, 3

Rule : Arithmetic sequence (add 2/3)

3. 4, 16, 64, 256, 1024

Rule : Geometric Sequence (multiply 4)

4. 32, 28, 24, 20, 16

Rule : Arithmetic sequence (Deduct 4)

5. 3/8, 1, 13/8, 18/8, 23/8

Rule : Arithmetic sequence (add 5/8)

Step-by-step explanation:

There are two types/kinds of sequence, arithmetic, and geometric sequence

Hope it helps!

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