Question

If the
an=2n^2+ 1
then
find d
​

Answer 1

Answer:

There is no common difference

Step-by-step explanation:

given aₙ = 2n²+1

so, a₁ = 2(1²) + 1 = 2(1) +1 = 2+1 = 3

     a₂ = 2(2²) + 1 = 2(4) +1 = 8+1 = 9

     a₃ = 2(3²) + 1 = 2(9) +1 = 18+1 = 19

     a₄ = 2(4²) + 1 = 2(16) +1 = 32+1 = 33

so, d₁ =  a₂-a₁ = 9-3

     d₂ =  a₃-a₂ = 19-9 = 10

here itself d₁ ≠ d₂

so, there is no common difference, d