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Find the 25th term of the sequence 50, 44, 38, 32, 26... by showing your work.

A) 2
B) 4
C) 6
D) 8

User KimKulling
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1 Answer

4 votes

Final answer:

To find the 25th term of the sequence 50, 44, 38, 32, 26..., we can use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.

Step-by-step explanation:

To find the 25th term of the sequence 50, 44, 38, 32, 26..., we need to determine the pattern of the sequence. Notice that each term decreases by 6. This means that the common difference is -6. To find the 25th 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 term number, and d is the common difference.

Plugging in the values, we have:

a25 = 50 + (25-1)(-6)

a25 = 50 + 24(-6)

a25 = 50 - 144

a25 = -94

Therefore, the 25th term of the sequence is -94.

User Vengy
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