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What is the nth in the arithmetic sequence: 0.2,- 0.6,- 1.4,- 2.2?

Answer 1

Anna Allen

#1 - 0.8n#

The nth term of an arithmetic sequence is

#a + (n - 1)d#

where #a# is the first term and #d# is the common difference.

#a = 0.2 and d = -0.8#

Hence, the nth term is

#0.2 - 0.8(n - 1)#

#=> 0.2 - 0.8n + 0.8#

#1 - 0.8n#

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Answer 2

Liam Brennan

To find the nth term in the arithmetic sequence (0.2, -0.6, -1.4, -2.2), we can observe that the common difference between consecutive terms is (d = -0.8). The first term (a_1) is (0.2).

The nth term of an arithmetic sequence can be found using the formula: [a_n = a_1 + (n - 1) \cdot d]

Plugging in the values we have: [a_n = 0.2 + (n - 1) \cdot (-0.8)]

Simplify to get the nth term: [a_n = 0.2 - 0.8n + 0.8]

[a_n = 1 - 0.8n]

So, the nth term of the arithmetic sequence is (1 - 0.8n).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.