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Elza [17]
3 years ago
9

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

Mathematics
1 answer:
monitta3 years ago
4 0

Answer:

4600

Step-by-step explanation:

STEP 1: Determine type of progression

d1 =  - 2 - ( - 6) \\ d1 = 4 \\  \\ d2 = 2 - ( - 2) \\ d2 = 4

Since d1 = d2, it is Arithmetic progression, with a common difference of 4

STEP 2: Evaluate the sum

s =  \frac{n}{2} (2a + (n - 1)d) \\ s =  \frac{50}{2} (2( - 6) + (50 - 1)4) \\ s = 4600

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