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What is the general rule for the sequence? 1.11, 2.54, 3.97, 5.40, ...

1 Answer

5 votes

we are given

1.11, 2.54, 3.97, 5.40, ...

we can see that

first term is 1.11

now, we can find common difference


d=2.54-1.11


d=1.43

now, we can find second difference


d=3.97-2.54


d=1.43

we can see that

differences are same

so, this is arithematic sequence

now, we can find it's nth term


a_n=a_1+(n-1)d


a_n=1.11+(n-1)*1.43

now, we can simplify it

and we get


a_n=1.43n-0.32............Answer

User Sean Howell
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