Question

Find the 75th term of the arithmetic sequence -17, -13, -9, ...−17,−13,−9,

Answer 1

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➡️The sequence has a common difference of 4, so is an arithmetic sequence. The formula for the n-th term of an arithmetic sequence is .

an = a1 + d(n -1)

where a1 is the first term (-17) and d is the common difference (4).

Then the 75th term is ...

a75 = -17 + 4(75 -1) = -17 +296 = 279

The 75th term is 279.

Answer 2

279

Explanation:

The sequence has a common difference of 4, so is an arithmetic sequence. The formula for the n-th term of an arithmetic sequence is ...

an = a1 + d(n -1)

where a1 is the first term (-17) and d is the common difference (4).

Then the 75th term is ...

a75 = -17 + 4(75 -1) = -17 +296 = 279

The 75th term is 279.