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Rasek [7]
3 years ago
6

Find the sum of the first 50 terms. -6,-2,2,6

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Answer:

4600

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = - 2 - (- 6) = 2 - (- 2) = 6 - 2 = 4

This indicates the sequence is arithmetic with sum to n terms

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

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = 4 , then

S_{50} = \frac{50}{2} [ (2 × - 6) + (49 × 4) ]

     = 25(- 12 + 196)

     = 25 × 184

     = 4600

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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