Find the first term and the common difference for the arithmetic sequence. Round approximations to the nearest
hundredth.
-$a _ { 23 } = 364 , a _ { 89 } = 1420$
A) $\mathrm { a } _ { 1 } = 1056 , \mathrm {~d} = 12$
B) $\mathrm { a } _ { 1 } = 12 , \mathrm {~d} = 1056$
C) $\mathrm { a } _ { 1 } = 1056 , \mathrm {~d} = 16$
D) $\mathrm { a } _ { 1 } = 12 , \mathrm {~d} = 16$

Question

Quizplus · Accepted Answer

The common difference $d$ can be found using the formula $a_n = a_1 + (n-1)d$. Substituting the given values for $a_{23}$ and $a_{89}$, we can set up two equations and solve for $a_1$ and $d$. The correct values are $a_1 = 12$ and $d = 16$.

Find the First Term and the Common Difference for the Arithmetic