Question

find the rule 9,12,15 plss answer

Answer 1

Step-by-step explanation:

1, 2, 3, 4, 5, ….. So the next number is 6 and 6 multiplied by 3 is 18. Hence the next number in the original sequence is 18, followed by 21, 24, 27, etc.

Answer 2

Answer:

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Write the following sets in set-builder (Rule Method) form B1 = {6, 9, 12, 15,…..}

Write the following sets in set-builder (Rule Method) form :

(i) B1 = {6, 9, 12, 15,…..}

(ii) B2 = {11, 13, 17, 19}

(iii) B3 = {1/3, 3/5, 5/7, 9/11…}

(iv) B4 = {8, 27, 64, 125, 216}

(v) B5 = {-5, -4, -3, -2, -1}

(vi) B6 = {…., -6, -3, 0, 3, 6….}

sets

Answer

(i) B1 = {6, 9, 12, 15,……}

= {X : X = 3n + 3; n ∈ N}

(ii) B2 = {11, 13, 17, 19}

= {X : X is a prime number between 10 and 20}

(iii) B3 = {1/3, 3/5, 5/7, 7/9, 9/11,…..}

= {x : x = n/(n + 2), where n is an odd natural number}

(iv) B4 = {8, 27, 64, 125, 216}

= {X : X = n3 ; n ∈ N and 2 ≤ n ≤ 6}

(v) B5 = {-5, -4, -3, -2, -1}

= {X : X ∈ Z, -5 ≤ X ≤ -1}

(vi) B6 = {…., -6, -3, 0, 3, 6,…}

= {X : X = 3n, n ∈ z}