Question

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

Answer 1

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

Answer 2

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

Answer 3

what is n?

Answer 4

so the nth term of this sequence i s

an = 2 + (n - 1)3

Answer 5

n is the sequence number of the term

dist, second, third etc

Answer 6

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

Answer 7

so 10th term of the sequence 2,5,8,11,14 is

a10 = 2 + (10-1)3
= 2 + 9*3
= 2 + 27
= 29

Answer 8

yes then the answer is a formula containg n.

Answer 9

okay i understand. thank you so much.

Answer 10

yw