Question

Verify that 0, 1/4, 1/2, 3/4,…is an AP, and then write its next three terms.

Answer 1

Here,

a₁ = 0

a₂ = ¼

a₃ = ½

a₄ = ¾

a₂ – a₁ = ¼ – 0 = ¼

a₃ – a₂ = ½ – ¼ = ¼

a₄ – a₃ = ¾ – ½ = ¼

Since, difference of successive terms are equal,

Hence, 0, 1/4, 1/2, 3/4… is an AP with common difference ¼.

Therefore, the next three term will be,

¾ + ¼ , ¾ + 2(¼), ¾ + 3(¼)

1, 5/4 , 3/2