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mash [69]
3 years ago
6

Show how the following sequences is an arithmetic or not please help me ​

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

not arithmetic

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Given

T_{n} = 2n² - 1

Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence

T_{1} = 2(1)² - 1 = 2 - 1 = 1

T_{2} = 2(2)² - 1 = 8 - 1 = 7

T_{3} = 2(3)² - 1 = 18 - 1 = 17

T_{4} = 2(4)² - 1 = 32 - 1 = 31

check the difference between consecutive terms

7 - 1 = 6

17 - 7 = 10

31 - 17 = 14

The differences are not common hence not an arithmetic sequence

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