12 33 28
9 12 ?
13 40 17
Answers
Given :-
12 33 28
9 12 ?
13 40 17
Solution :-
Logic :- {2*(First number of column) - third number} - {2(Third Number - First number)} = second Number .
Explanation :-
in first column :- 12, 9, 13
→ (2*12 - 13) - 2(13 - 12)
→ (24 - 13) - (2 * 1)
→ 11 - 2
→ 9 = Second Number.
Similarly,
in second column :- 33, 12, 40
→ (2*33 - 40) - |2(40 - 33)|
→ (66- 40) - (2 * 7)
→ 26 - 14
→ 12 = Second Number.
therefore, applying same Logic in 3rd column we get,
in third column :- 28, ?, 17
→ (2*28 - 17) - 2(17 - 28)
→ (56- 17) - {2 * (-11)}
→ 39 - (-22)
→ 39 + 22
→ 61 = Second Number. (Ans.)
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Use inductive reasoning to determine the next two terms in the sequence:
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Answer:
Given :-
12 33 28
9 12 ?
13 40 17
Solution :-
Logic :- {2*(First number of column) - third number} - {2(Third Number - First number)} = second Number .
Explanation :-
in first column :- 12, 9, 13
→ (2*12 - 13) - 2(13 - 12)
→ (24 - 13) - (2 * 1)
→ 11 - 2
→ 9 = Second Number.
Similarly,
in second column :- 33, 12, 40
→ (2*33 - 40) - |2(40 - 33)|
→ (66- 40) - (2 * 7)
→ 26 - 14
→ 12 = Second Number.
therefore, applying same Logic in 3rd column we get,
in third column :- 28, ?, 17
→ (2*28 - 17) - 2(17 - 28)
→ (56- 17) - {2 * (-11)}
→ 39 - (-22)
→ 39 + 22
→ 61 = Second Number. (Ans.)
Step-by-step explanation: