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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.

Respuesta :

The formula representing this is 3n-2

We are given

first term is 1

so, [tex] a_1=1 [/tex]

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

so, common difference is

[tex] d=3 [/tex]

Since, this is arithematic sequence

so, we can use nth terms formula

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

now, we can plug values

and we get

[tex] a_n=1+(n-1)*3 [/tex]

[tex] a_n=1+3n-3 [/tex]

[tex] a_n=3n-2 [/tex]................Answer


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