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docker41 [41]
4 years ago
15

Find Sn for the given arithmetic series. a1 = –74, d = –3, n = 20

Mathematics
1 answer:
Talja [164]4 years ago
4 0

Answer:

- 1050

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ], thus

S_{20} = \frac{20}{2} [ (2 × - 74) + (19 × - 3) ]

= 10 ( - 148 - 57) = 10 × - 105 = - 1050

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Below

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