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Dimas [21]
3 years ago
14

Find the sum of this arithmetic series. | 26 + 24.5 + 23 + 21.5 + ... - 17.5

Mathematics
1 answer:
emmainna [20.7K]3 years ago
8 0

Answer:

127.5

Step-by-step explanation:

The given series is 26 + 24.5 + 23 + 21.5 + ... - 17.5

The first term of this series is a=26

The common difference is d=24.5-26=-1.5

The last term of the series is -17.5

The nth term is given by:

u_n=a+d(n-1)

26+-1.5(n-1)=-17.5

-1.5n=-17.5-26-1.5

-1.5n=-45

n=30

The sum of the series:

S_{n}=\frac{n}{2}(a+l)

S_{30}=\frac{30}{2}(26+-17.5)

S_{30}=127.5

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