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What is the 35th term of the sequence: 205, 201, 197, ...?

Answer :

Answer:

69

Step-by-step explanation:

To find the 35th term of the given sequence, we need to determine the pattern or rule governing the sequence.

By observing the given sequence 205, 201, 197, we can see that each term is obtained by subtracting 4 from the previous term. Therefore, the sequence is a decreasing arithmetic sequence with a common difference of -4.

To find the 35th term, we can use the formula for the nth term of an arithmetic sequence:

Term(n) = first term + (n - 1) * common difference

In this case, the first term (a₁) is 205, and the common difference (d) is -4.

Term(35) = 205 + (35 - 1) * (-4)

Calculating this expression, we have:

Term(35) = 205 + 34 * (-4)

= 205 - 136

= 69

Therefore, the 35th term of the sequence 205, 201, 197 is 69.

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