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Given the sequence, {3, 1, -1, -3, ...}, find a32.

a) -63
b) 63
c) -31
d) 31

1 Answer

4 votes

Final answer:

The 32nd term in the given sequence is -59.

Step-by-step explanation:

This is an arithmetic sequence with a common difference of -2. To find the 32nd term, we can use the formula:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference. Plugging in the values, we have:

a32 = 3 + (32-1)(-2)

a32 = 3 + 31(-2)

a32 = 3 - 62

a32 = -59

Therefore, the 32nd term in the sequence is -59.

User Joe Essey
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