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Yuliya22 [10]
3 years ago
9

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for t

he first term. -1, 0, 1, 2, ...
Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

a_n = -2 + n is an expression which describe the given sequence

Step-by-step explanation:

Arithmetic sequence states that a sequence where the difference between each successive pair of terms is the same.  

The general rule for the arithmetic sequence is given by;  

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

where

a_1 represents  the first term

d represents the common difference

and n is the number of terms;

Given sequence: -1 , 0 , 1 , 2 , .....

This is an arithmetic sequence with common difference

Since,

0-(-1) = 1

1-0 =1

2-1 = 1 ....

Here, a_1 = -1

Substitute the value of a_1 = -1 , d =1 in [1] we get

a_n = -1 +(n-1)(1)

a_n = -1 + n -1 = -2 +n

Therefore,an expression which describe the given sequence is,  a_n = -2 + n




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