Mathematics 10 — Exercise 2.6 · Q3

Full question

Make a the subject of the formula.

S=2×a+d×(n-1)

Step-by-step solution

  1. Subtract (n−1)d, then divide by 2, using the formula exactly as printed.

  2. Apply that operation equally to both sides.

    2×a=S-d×(n-1)
  3. Apply that operation equally to both sides.

    a=S2-d×(n-1)2

Answer

The final answer is shown below.

a=S2-d×(n-1)2