Mathematics: Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.

6 x 10^8 is greater than 3 x 10^3...

Determine the sum of the arithmetic series: 5+18 - id51837299518, azertyqwerty123

Ответ:

shelbyp2003

31.01.2022

Mathematics

1079

Step-by-step explanation:

Hello,

18-5 = 13

31-18=13

44-31=13

161=5+13*12

So we need to compute

$\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079$

Thanks

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Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.

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