k ‘the laws of nature are but the mathematical thoughts of...
TRANSCRIPT
![Page 1: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/1.jpg)
![Page 2: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/2.jpg)
k
NEW MATHEMATICAL FORMULA DAILY
www.and-just-math.com We are not mathematicians, but we love mathematics and create formulas ourselves.
‘No other science boosts the faith in the strength of the human spirit like mathematics.' Hugo Steinhaus
FORMULAS ‘The laws of nature are but the mathematical thoughts of God.’ Euclid
FORMULA No.
D101
�𝟖 × 𝟑𝟐×𝒌+𝟐 + 𝟏
𝟑𝟒×𝒌+𝟔 + 𝟏𝟏 × 𝒌 × 𝟑𝟐×𝒌+𝟐 + 𝟑𝟐×𝒌+𝟐 + 𝒌𝟐 + 𝒌
𝒌=𝒏
𝒌=𝟏
= 𝟑𝟐×𝒏+𝟒 + 𝒏 − 𝟖𝟏
𝟖𝟐 × (𝟑𝟐×𝒏+𝟒 + 𝒏 + 𝟏)
𝒌,𝒏 ∈ 𝑵
![Page 3: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/3.jpg)
k
NEW MATHEMATICAL FORMULA DAILY
www.and-just-math.com We are not mathematicians, but we love mathematics and create formulas ourselves.
‘No other science boosts the faith in the strength of the human spirit like mathematics.' Hugo Steinhaus
FORMULAS ‘The laws of nature are but the mathematical thoughts of God.’ Euclid
FORMULA No.
D102
�𝟑 × 𝟐𝟐×𝒌 + 𝟏
𝟐𝟒×𝒌+𝟐 + 𝟓 × 𝒌 × 𝟐𝟐×𝒌 + 𝟐𝟐×𝒌 + 𝒌𝟐 + 𝒌
𝒌=𝒏
𝒌=𝟏
= 𝟐𝟐×𝒏+𝟐 + 𝒏 − 𝟒
𝟓 × (𝟐𝟐×𝒏+𝟐 + 𝒏 + 𝟏)
𝒌,𝒏 ∈ 𝑵
![Page 4: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/4.jpg)
k
NEW MATHEMATICAL FORMULA DAILY
www.and-just-math.com We are not mathematicians, but we love mathematics and create formulas ourselves.
‘No other science boosts the faith in the strength of the human spirit like mathematics.' Hugo Steinhaus
FORMULAS ‘The laws of nature are but the mathematical thoughts of God.’ Euclid
FORMULA No.
D103
�𝟒 × 𝟓𝒌 + 𝟐
𝟓𝟐×𝒌+𝟏 + 𝟏𝟐 × 𝒌 × 𝟓𝒌 + 𝟐 × 𝟓𝒌 + 𝟒 × 𝒌𝟐 + 𝟒 × 𝒌
𝒌=𝒏
𝒌=𝟏
= 𝟓𝒏+𝟏 + 𝟐 × 𝒏 − 𝟓
𝟕 × (𝟓𝒏+𝟏 + 𝟐 × 𝒏 + 𝟐)
𝒌,𝒏 ∈ 𝑵
![Page 5: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/5.jpg)
k
NEW MATHEMATICAL FORMULA DAILY
www.and-just-math.com We are not mathematicians, but we love mathematics and create formulas ourselves.
‘No other science boosts the faith in the strength of the human spirit like mathematics.' Hugo Steinhaus
FORMULAS ‘The laws of nature are but the mathematical thoughts of God.’ Euclid
FORMULA No.
D104
�𝟓 × 𝟔𝒌 + 𝟏
𝟔𝟐×𝒌+𝟏 + 𝟕 × 𝒌 × 𝟔𝒌 + 𝟔𝒌 + 𝒌𝟐 + 𝒌
𝒌=𝒏
𝒌=𝟏
= 𝟔𝒏+𝟏 + 𝒏 − 𝟔
𝟕 × (𝟔𝒏+𝟏 + 𝒏 + 𝟏)
𝒌,𝒏 ∈ 𝑵
![Page 6: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/6.jpg)
k
NEW MATHEMATICAL FORMULA DAILY
www.and-just-math.com We are not mathematicians, but we love mathematics and create formulas ourselves.
‘No other science boosts the faith in the strength of the human spirit like mathematics.' Hugo Steinhaus
FORMULAS ‘The laws of nature are but the mathematical thoughts of God.’ Euclid
FORMULA No.
D105
�𝟔 × 𝟕𝒌−𝟏 + 𝟏
𝟕𝟐×𝒌−𝟏 + 𝟖 × 𝒌 × 𝟕𝒌−𝟏 + 𝟕𝒌−𝟏 + 𝒌𝟐 + 𝒌
𝒌=𝒏
𝒌=𝟏
= 𝟕𝒏 + 𝒏 − 𝟏
𝟐 × (𝟕𝒏 + 𝒏 + 𝟏)
𝒌,𝒏 ∈ 𝑵
![Page 7: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/7.jpg)
k
NEW MATHEMATICAL FORMULA DAILY
www.and-just-math.com We are not mathematicians, but we love mathematics and create formulas ourselves.
‘No other science boosts the faith in the strength of the human spirit like mathematics.' Hugo Steinhaus
FORMULAS ‘The laws of nature are but the mathematical thoughts of God.’ Euclid
FORMULA No.
D106
�𝟔 × 𝟕𝒌 + 𝟗
𝟕𝟐×𝒌+𝟏 + 𝟕𝟐 × 𝒌 × 𝟕𝒌 + 𝟗 × 𝟕𝒌 + 𝟖𝟏 × 𝒌𝟐 + 𝟖𝟏 × 𝒌
𝒌=𝒏
𝒌=𝟏
= 𝟕𝒏+𝟏 + 𝟗 × 𝒏 − 𝟕
𝟏𝟔 × (𝟕𝒏+𝟏 + 𝟗 × 𝒏 + 𝟗)
𝒌,𝒏 ∈ 𝑵
![Page 8: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/8.jpg)
k
NEW MATHEMATICAL FORMULA DAILY
www.and-just-math.com We are not mathematicians, but we love mathematics and create formulas ourselves.
‘No other science boosts the faith in the strength of the human spirit like mathematics.' Hugo Steinhaus
FORMULAS ‘The laws of nature are but the mathematical thoughts of God.’ Euclid
FORMULA No.
D107
�𝟖 × 𝟑𝟐×𝒌 + 𝟏
𝟑𝟒×𝒌+𝟐 + 𝟏𝟏 × 𝒌 × 𝟑𝟐×𝒌 + 𝟑𝟐×𝒌 + 𝒌𝟐 + 𝒌
𝒌=𝒏
𝒌=𝟏
= 𝟑𝟐×𝒏+𝟐 + 𝒏 − 𝟗
𝟏𝟏 × (𝟑𝟐×𝒏+𝟐 + 𝒏 + 𝟏)
𝒌,𝒏 ∈ 𝑵
![Page 9: k ‘The laws of nature are but the mathematical thoughts of ...and-just-math.com/files/W10EN.pdf · -just -math. com We are not mathematicians, but we love mathematics and create](https://reader036.vdocuments.site/reader036/viewer/2022071215/604686f8e6de6024bb7745dd/html5/thumbnails/9.jpg)