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3 votes
What is the explicit formula for the sequence? 6, 5, 4, 3, 2, . .

2 Answers

3 votes

Answer:
a_n=5+n

Explanation:

The explicit formula for an arithmetic sequence is given by:-


a_n=a+d(n-1), where a is the first term , di sthe common difference and n is the number of terms.

The given sequence : 6, 5, 4, 3, 2, . .

Common difference d = 1

First term = 1

Now, the explicit formula for given arithmetic sequence will be:


a_n=6+1(n-1)\\\\\Rightarrow\ a_n=6+n-1\\\\\Rightarrow\ a_n=5+n

Hence, the explicit formula for given arithmetic sequence :
a_n=5+n

User Abhijith Brumal
by
8.2k points
2 votes
This arithmetic sequence has first term 6 and common difference -1. The general formula is
an = a1 +(n-1)d

For your sequence, this is
an = 6 +(n-1)*(-1)
an = 7 - n
User Snakeyyy
by
8.7k points

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