Question

for the sequence of natural numbers find S60-S45

Answer 1

solution:

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Given & To find :


For the sequence of natural numbers,

$S_{60} - S_{45}$,.

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As,

For series of natural number,.

We know the formula to find sum,.

$\frac{n(n+1)}{2}$

=> $S_{60} = \frac{60(60+1)}{2}$

=> $S_{60} = 30(61)$

=> $S_{60} = 1830$...

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$S_{45} = \frac{45(45+1)}{2}$

=> $S_{45} = \frac{45(46)}{2}$

=> $S_{45} = 45(23)$

=> $S_{45} = 1035$

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$S_{60} -S_{45} = 1830 - 1035$

$S_{60} - S_{45} = 995$ ...

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                                      Hope it Helps !!