Question

Input the values into the formula below to find the 81st term in the sequence: 55, 49, 43, 37, 31,...

A) 55 - 6(81 - 1)
B) 55 - 6(81)
C) 55 + 6(81 - 1)
D) 55 + 6(81)

Answer 1

To find the 81st term in the given arithmetic sequence, use Option A, which correctly applies the arithmetic sequence formula, giving the computation as 55 - 6(81 - 1). This choice acknowledges the sequence's constant decrease of 6 per term from the initial term of 55.

Step-by-step explanation:

The sequence of numbers provided is an arithmetic sequence, where each term decreases by 6 from the previous term. To find the 81st term of this sequence, we can use the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d, where a1 is the first term, d is the common difference, and n is the term number. Substituting the given values into the formula, we get:

55 - 6(81 - 1)

Therefore, the correct formula to find the 81st term is Option A: 55 - 6(81 - 1).