Question

Consider a sequence 10,16,22..... Can you find two terms as the sum of difference of any two terms in this sequence.

Answer 1

★a(1) = 10

★a(2) = 16 = 10 + 2*2 = a(1) + 2*2

★a(3) = 22 = 106+ 2*3 = a(2) + 2*3 = 10 + 2*(2+3)

★So The sequence goes on like this:

★a(n) = a(n -1) + 2*n = a(1) + 2*((n(n+1)/2) - 1) = 10 + 2*((n(n+1)/2) - 1)

★a(p) + a(q) = 2*10 + 2*((p(p+1)/2) +(q(q+1)/2) - 2)

★a(p) - a(q) = p(p+1) - q(q+1)

Answer 2

Answer:

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