2 years ago

What numbers form a triangle

Mathematics

1 answer:

vaieri [72.5K]2 years ago

6 0

Answer:

traingular Number Sequence: 1, 3, 6, 10, 15, 21, 28, 36, 45, .etc.

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2 years ago

Write the sum of the numbers as the product of their GCF and another sum.

8090 [49]

Answer:

See explanation

Step-by-step explanation:

1. Find the GCF of 40 and 44:

$40=\underline{2\cdot 2}\cdot 2\cdot 5\\ \\44=\underline{2\cdot 2}\cdot 2\cdot 11\\ \\GCF(40,44)=2\cdot 2=4$

So,

$40+44=4\cdot 10+4\cdot 11=4\cdot (10+11)$

2. Find the GCF of 13 and 52:

$13=\underline{13}\\ \\52=2\cdot 2\cdot \underline{13}\\ \\GCF(13,52)=13$

So,

$13+52=13\cdot 1+13\cdot 4=13\cdot (1+4)$

3. Find the GCF of 15 and 81:

$15=\underline{3}\cdot 5\\ \\81=\underline{3}\cdot 3\cdot 3\cdot 3\\ \\GCF(15,81)=3$

So,

$15+81=3\cdot 5+3\cdot 27=3\cdot (5+27)$

4. Find the GCF of 64 and 28:

$64=\underline{2\cdot 2}\cdot 2\cdot 2\cdot 2\cdot 2\\ \\28=\underline{2\cdot 2}\cdot 7\\ \\GCF(64,28)=2\cdot 2=4$

So,

$64+28=4\cdot 16+4\cdot 7=4\cdot (16+7)$

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2 years ago

I need some help with binomial theorems. can anyone help solve this?

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Use Pascal's Triangle

1
1 1
1 2 1
1 3 3 1
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