Question

The formula for the nth term of an arithmetic sequence can be found using the formula a(n)=a (1)+(n-1)d. Which of the following is equivalent to this equation?
a. n=a(n)
b. n=a(n)+a(1)-d/d
c. n=a(n)-a(1)
d. n=a(n)-a(1)+d/d

Answer 1

Answer:

n= a(n)-a(1)+d/d

Step-by-step explanation:

Answer 2

The formula is given as

$a_{n} = a_{1}+(n-1)d$ , multiplying out the bracket gives
$a_{n}= a_{1}+nd-d$, rearranging to make $n$ the subject
$a_{n}- a_{1}+d=nd$
$\frac{ a_{n}- a_{1}+d }{d}=n$

Hence, the correct answer is option d