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Naya [18.7K]
3 years ago
8

Need to find the sum of 50

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

4600

Step-by-step explanation:

This is an arithmetic sequence with common difference d between consecutive terms.

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

The sum to n terms of an arithmetic sequence is

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

where a is the first term

here a = - 6, d= 4 and n = 50, hence

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

                           = 25 ( - 12 + 196 )

                           = 25 × 184

                           = 4600

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