The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈n and n > 1. what are the first 9 triangular numbers? a) 1, 2, 4, 7, 11, 16, 22, 29, 37 b) 1, 2, 5, 9, 14, 20, 27, 35, 44 c) 1, 3, 6, 10, 15, 21, 28, 36, 45 d) 1, 3, 7, 11, 16, 22, 29, 37, 46

ANSWER

C)1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

when n is a natural number greater than 1.

When n=2,

when n=3,

when t=4,

When t=5,

when t=6,.

when t=7

When t=8,

When t=9,

Hence the first nine triangular number are

C)1, 3, 6, 10, 15, 21, 28, 36, 45

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !