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Find the 66th term of the arithmetic sequence -10, 7, 24, ...:

A) 383
B) 390
C) 397
D) 404

1 Answer

4 votes

Final answer:

The 66th term of the arithmetic sequence -10, 7, 24, ... is 1095, calculated using the formula for the nth term of an arithmetic sequence.

Step-by-step explanation:

To find the 66th term of an arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence, which is a_n = a_1 + (n - 1)d, where a_n is the n-th term, a_1 is the first term, and d is the common difference between the terms. First, let's find the common difference by subtracting the first term from the second term: d = 7 - (-10) = 17.

Now that we have the common difference, we can find the 66th term using the formula:

a_66 = a_1 + (66 - 1) × 17
a_66 = -10 + (65 × 17)
a_66 = -10 + 1105
a_66 = 1095

Therefore, the 66th term of the arithmetic sequence is 1095.

User Alastar
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