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The start of an arithmetic sequence is 3, 11, 19, . . .

One of the terms in the sequence has a value of
531.

What position in the sequence is this term?

1 Answer

1 vote

The term in the arithmetic sequence that has a value of 531 is 67

How the term of the value in the arithmetic sequence can be found

An arithmetic sequence is a sequence of numbers that have a common difference between the values of the terms.

The common difference between the terms is; 11 - 3 = 19 - 11

Therefore, the common difference is 11 - 3 = 8
The nth term of an arithmetic progression is; aₙ = a + (n - 1)·d

Therefore;

531 = 3 + (n - 1) × 8

(n - 1) × 8 = 531 - 3

(n - 1) × 8 = 528

(n - 1) = 528/8

n = 528/8 + 1

n = 67

The position of the term in sequence that has a value of 531 is 67

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