how do i find the nth term of an arithmetic sequence?

Question

rizags · Answer

$$\huge a_n=a_1+(n-1)d$$

welshfella · Answer

a1  is the first term in the sequence and d is the common difference 

an example of  the sequence is

2 , 5 , 8 , 11, 14

here a1 = 2 and d =  common differnce between each term = 5 - 2 = 3

anonymous · Answer

what is n?

welshfella · Answer

so the nth term of this sequence i s

an = 2 + (n - 1)3

welshfella · Answer

n is the sequence number of the term 

dist, second,  third etc

anonymous · Answer

what if the sequence number is not given? does that mean that the answer is an equation?

welshfella · Answer

so 10th term  of the sequence   2,5,8,11,14  is

a10 = 2 + (10-1)3
        = 2 + 9*3
         = 2 + 27
          = 29

welshfella · Answer

yes then the answer is a formula containg n.

anonymous · Answer

okay i understand. thank you so much.

welshfella · Answer

yw