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Find the nth term of 60,55,50,45 of each arithmetic sequence

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Final answer:

The nth term of the arithmetic sequence 60, 55, 50, 45 is calculated using the formula Tn = a + (n - 1)d. In this case, the first term a is 60 and the common difference d is -5. Therefore, the nth term is 65 - 5n.

Step-by-step explanation:

To find the nth term of an arithmetic sequence, we use the formula:

Tn = a + (n - 1)d

where Tn is the nth term, a is the first term, n is the term number and d is the common difference.

In the given sequence 60, 55, 50, 45, the first term a is 60 and the common difference d is -5 (since each term is 5 less than the previous term).

Thus, the formula for the nth term is:

Tn = 60 + (n - 1)(-5)

Tn = 60 - 5n + 5

Tn = 65 - 5n

Therefore, the nth term of the sequence is 65 - 5n.

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