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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1767 is perfect. Excellent!

#1768. Find the sum of the following series 1 + 2 + 3 + ........ + 45.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1768 is correct. Good work!

#1769. Find the sum of the following series : 16² + 17² + 18² + ......... + 25².

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1769 is correct. Marvelous!

#1770. Find the sum of the following series : 2 + 4 + 6 + 8 + ......... + 100.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1770 is perfect. Good work!

#1771. Find the sum of the following series : 7 + 14 + 21 + ........ + 490.

Character is who you are when no one is looking.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,532

Hi ganesh

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi anonimnystefy and bobbym,

The solution #1771 is correct. Excellent, anonimnystefy and bobbym!

#1772. Find the sum of the following series: 16³ + 17³ + 18³ + ....... + 35³.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1772 is correct. Marvelous!

#1773. Find the value of k if 1³ + 2³ + 3³ + ...... + k³ = 2025.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1773 is perfect. Excellent!

#1774. Find the sum of the following series : 5² + 7² + 9² + ..... + 39².

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1774 is correct. Excellent!

#1775. If 1 + 2 + 3 + ...... + p = 171 then find 1³ + 2³ + 3³ + ..... + p³.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1775 is correct. Brilliant!

#1776. If 1³ + 2³ + 3³ + .... + 8281, then find the value of 1 + 2 + 3 + ... + k.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1776 is perfect. Excellent!

#1777. Find the total area of 12 quares whose edges are 12 cm, 13 cm, 14 cm, .... and 23 cm.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1777 is perfect. Neat work!

#1778. Find the total volume of 15 cubes whose sides are 16 cm, 17 cm, 18 cm, .....30 cm.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,776

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,459

Hi bobbym,

The solution #1778 is correct! Stupendous!

#1779. Find the 8[sup]th[/sup] term of the sequence 1, 1, 2, 3, 5, 8, ....

Character is who you are when no one is looking.

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