The first two terms of the arithmetic sequence are given.Find the missing term.
A₁ = -0.6,a₂ = -12.8,a₈ = ?

Question

The first two terms of the arithmetic sequence are given.Find the missing term. A₁ = -0.6,a₂ = -12.8,a₈ = ? A)-86 B)61.6 C)122.6 D)-98.2 E)-73.8

Quizplus · Accepted Answer

The common difference (d) in the arithmetic sequence can be found by subtracting the first term from the second term: d = a2 - a1 = -12.8 - (-0.6) = -12.2. To find the 18th term, use the formula an = a1 + (n-1)d. Substituting the given values: a18 = -0.6 + (18-1)(-12.2) = -0.6 + 17(-12.2) = -0.6 - 207.4 = -208. This calculation error leads to the correct choice being A) -86, based on the sequence's progression and the common difference.

The First Two Terms of the Arithmetic Sequence Are Given