Step 1: Break down each term
Term | First Letter | Number | Last Letter |
---|---|---|---|
A1X | A | 1 | X |
B4P | B | 4 | P |
E25J | E | 25 | J |
J100F | J | 100 | F |
Alphabet positions:
Pattern: Differences increase by 2 (1, 3, 5), so next difference should be +7
Next letter position: 10 + 7 = 17 → Q
Sequence inside squares:
Base numbers: 1, 2, 5, 10
Differences: +1, +3, +5 (increasing by 2), so next difference should be +7
Next base number: 10 + 7 = 17 → 17² = 289
Alphabet positions:
Pattern: Differences decrease by 2 (-8, -6, -4), so next difference should be -2
Next letter position: 6 - 2 = 4 → D
Next term: Q289D
The correct option is (3) Q289D.
The area bounded by the parabola and the lines , and (in square units) is:
Let and . Then the value of is equal to: