Subjects algebra

Arithmetic Progressions Ee4E65

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **Problem:** Write any three Arithmetic Progressions (AP) with common difference $d=5$. 2. **Formula:** An AP is defined as $a, a+d, a+2d, \dots$ where $a$ is the first term and $d$ is the common difference. 3. **Examples:** - AP1: $1, 1+5=6, 6+5=11$ so the sequence is $1, 6, 11$ - AP2: $0, 0+5=5, 5+5=10$ so the sequence is $0, 5, 10$ - AP3: $-3, -3+5=2, 2+5=7$ so the sequence is $-3, 2, 7$ Each sequence has a common difference of 5. **Final answer:** Three APs with common difference 5 are $1,6,11$; $0,5,10$; and $-3,2,7$.