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

The formula is given as

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

Hence, the correct answer is option d

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gopikasuresh2013 gopikasuresh2013 · Answer 2 · 2021-01-08T15:44:48+01:00

gopikasuresh2013 gopikasuresh2013

08-01-2021

Answer:

D.

Step-by-step explanation:

:)

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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

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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