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30-06-2019
Mathematics

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Find the sum of the sequence 46+47+48+49+...+137

Respuesta :

artuselias artuselias

30-06-2019

Answer:

8418

Step-by-step explanation:

1 + 2 + ... + n is (n^2 + n)/2

46 + 47 + ... + 137

is the same as

1 + 2 + ... + 137 - (1 + 2 + ... + 45)

or

(137^2 + 137)/2 - (45^2 + 45)/2

= 8418

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