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Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by adding 3 to the one before it. Find the formula representing an, the nth term of the sequence.

User Jams
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2 Answers

2 votes
The formula representing this is 3n-2

User MattStacey
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1 vote

We are given

first term is 1

so,
a_1=1

each succeeding term is found by adding 3 to the one before it

so, common difference is


d=3

Since, this is arithematic sequence

so, we can use nth terms formula


a_n=a_1+(n-1)d

now, we can plug values

and we get


a_n=1+(n-1)*3


a_n=1+3n-3


a_n=3n-2................Answer


User Staabm
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