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Directions:Find the next three terms in each sequence.then, write the rule for finding the nth term.

A.5,10,15,20,___,___,___
Rule:

B.3,5,7,9,____,____,____
Rule:

C.½,⅓,¼,⅕,____,____,____
Rule:

D.-2,-4,-6,___,___,___
Rule:

E.1/28,4/28,9/28,___,___,___
Rule:

F.20,16,12,8,___,___,___
Rule:

G.2,5,8,11,____,____,___,
Rule:

H.7/7,9/7,11/7,___,___,___
Rule:

I.3,9,27,___,___,___
Rule:

J.6,12,18,24,___,___,___,
Rule:​

Sagot :

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Answer: Please see the analysis.

Step-by-step explanation:

A. 5,10,15,20,25, 30,35

Rule: Adding 5 in the previous item.

B. 3,5,7,9,12,15,18.

Rule: Adding 3 in the previous term.

C. ½,⅓,¼,⅕,1/6,1/7,1/8  

Rule: Adding 1 to the Denominator.

D. -2,-4,-6,-8,-10,-12

Rule: Adding (-2) in the previous term

E. 1/28, 4/28, 9/28, 16/28, 25/28, 36/28

Rule: Square the numerator

F.  20,16,12,8,4, 0,-4

Rule: Subtract 4 from the previous term.

G. 2,5,8,11,14,17,20

Rule: Add 3 in the previous term.

H. 7/7 ,9/7 ,11/7,13/7, 15/7, 17/7

Rule: Adding 2 to the numerator

I. 3,9,27,81,243,729.

Rule: An=3^n (geometric progression)

J. 6,12,18,24, 30,36,42.

Rule: 6n.

(Solution): The latter is six bigger than former.

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