3 years ago

Determine if the following side lengths could form a triangle.

Mathematics

1 answer:

kykrilka [37]3 years ago

4 0

Answer: Determine if the following side lengths could form a triangle.

Prove your answer with an inequality.

8,17,24

Step-by-step explanation:

Determine if the following side lengths could form a triangle.

Prove your answer with an inequality.

8,17,24

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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

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

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

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When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

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when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

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

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