Mathematics
Grade10
Easy
Question
What is the explicit formula for nth of a sequence?
- an = a1 + (n -1) d
- an = a2 + (n - 1) d
- an = a2 + (n - 2) d
- None of the above
Hint:
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
The correct answer is: an = a1 + (n -1) d
We have to find the explicit formula of nth term.
The explicit formula for nth term of an Ap is an = a1 + (n-1)d, where a1 is the first term and d is the common difference.
Hence, the correct option is A.
The recursive formula of an arithmetic sequence is, an = an-1 + d.
