Odd number triad: second = 2 x first plus or minus 1, third = square or cube of the first

This type of question, asked 3 times: 20 Jul 2023 S4, 24 Jul 2023 S1, 24 Jul 2023 S3. All 3 questions below, oldest first.

Try each one first, then open its answer.

Question 1
20 Jul 2023 S4
12 $Three of the following four triads are alike in a certain way as they are formed by performing same mathematical operations among themselves and thus form a group. Which triad does NOT belong to that group?$
Tap an option to check your answer.
Question 2
24 Jul 2023 S1
23 $Three of the following four triads are alike in a certain way as they are formed by performing same mathematical operations among themselves and thus form a group. Which triad does NOT belong to that group?$
Tap an option to check your answer.
Question 3
24 Jul 2023 S3
1 $Three of the following four triads are alike in a certain way as they are formed by performing same mathematical operations among themselves and thus form a group. Which triad does NOT belong to that group?$
Tap an option to check your answer.

Question 1