Question

a quadratic patterns has a second term equal to 1,a third term equal to -6 and fifth term equal to -14 .hence or otherwise calculate the first term of the pattern​

Answer 1

first term of the pattern​ (T₁) : 10

Explanation:

T₁ ; 1 ; -6 ; T₄ ; -14

1-T₁ ; -6-1 ; T₄-(-6) ; -14 -T₄ (First Tₙ-Tₙ₋₁)

-8+T₁ = T₄+13 = -2T₄-20 (2nd Tₙ-Tₙ₋₁ is constant)

T₄+13 = -2T₄-20 3T₄ = -33 T₄ = -11

-8+T₁ = T₄+13 -8 + T₁ = -11 + 13 = 2

T₁ = 10