Question

write the nth term for the number pattern given below 1,4,9,16....​

Answer 1

Answer:

f(x) = x^2 for x = 1,2,3,4,5.Therefore, we can say that f(x) - x^2 = has roots at x = 1,2,3,4,5

Then:

f(x) - x^2 = k(x-1)(x-2)(x-3)(x-4)(x-5) for a constant k. 

f(x) = x^2+k(x-1)(x-2)(x-3)(x-4)(x-5).f(6) = 6^2+1(6–1)(6–2)(6–3)(6–4)(6–5) = 36+5*4*3*2*1 = 36+120 = 156.

Answer 2

Step-by-step explanation:

1²,2²,3²,4²,5²,6²,7²,8²,9²