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1 vote
Find the 52nd term. 28, 25, 22, 19, ..

User Mortehu
by
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1 Answer

2 votes

Answer:

The 52nd term is -125

Explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

where a1 is the first term and d is the common difference.

a1 = 28

d = 25-28 = -3

Let's check 19-22 = -3 so the common difference is correct

an = 28 - 3(n-1)

We want to find the 52 term so n = 52

a52 = 28 -3 (52-1)

a52 = 28 -3(51)

a52 = 28 -153

a52 = -125

User Huxley
by
7.3k points

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