problem

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### Summing geometric progressions

Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

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Summing geometric progressions

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Watch the video to see how to sum the sequence. Can you adapt the method to sum other sequences?

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Harmonically

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Is it true that a large integer m can be taken such that: 1 + 1/2 +
1/3 + ... +1/m > 100 ?

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Telescoping series

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Find $S_r = 1^r + 2^r + 3^r + ... + n^r$ where r is any fixed positive integer in terms of $S_1, S_2, ... S_{r-1}$.

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Picture Story

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Can you see how this picture illustrates the formula for the sum of the first six cube numbers?

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Clickety Click and all the Sixes

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What is the sum of: 6 + 66 + 666 + 6666 ............+ 666666666...6
where there are n sixes in the last term?

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Picturing Square Numbers

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Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?

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A Swiss sum

Can you use the given image to say something about the sum of an infinite series?