Given the arithmetic sequence 3, 7, 11, 15, …, what is a1, the first term? What is d, the common difference? Find the 151st term of this sequence. What formula did you use? Be sure to show your work.

Question

anonymous · Answer

The first term is the first number in the sequence.
$$a _{1}=3$$
The common difference is the number you add to get the next term.
$$d=7-3=4$$
The equation for the nth term of an arithmetic sequence is 
$$a _{n}=a_{1}+d(n-1)$$
Plug in 151 for n to get the 151st term