Find the common difference of the sequence.
-$\mathrm { a } _ { 1 } = 814 , \mathrm { a } _ { 4 } = 829 \text {; find } \mathrm { d }$
A)-814
B)814
C)-5
D)5

Question

Quizplus · Accepted Answer

The common difference $d$ in an arithmetic sequence can be found using the formula $a_n = a_1 + (n - 1)d$, where $a_n$ is the nth term, $a_1$ is the first term, and $n$ is the term number. Given $a_1 = 814$ and $a_4 = 829$, we can substitute into the formula: $829 = 814 + (4 - 1)d$. Simplifying, we get $15 = 3d$, so $d = 5$.

Find the Common Difference of the Sequence a1=814,a4=829; find d\mathrm { a } _ { 1 } = 814 , \mathrm { a } _ { 4 } = 829 \text {; find } \mathrm { d }a1​=814,a4​=829; find d

Find the Common Difference of the Sequence $\mathrm { a } _ { 1 } = 814 , \mathrm { a } _ { 4 } = 829 \text {; find } \mathrm { d }$