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Kruka [31]
3 years ago
13

A sequence is defined by the explicit formula an=3n+4 Which recursive formula represents the same sequence of numbers?

Mathematics
1 answer:
fomenos3 years ago
5 0

Answer:

Option (3)

Step-by-step explanation:

Explicit formula of the sequence is,

a_n=3^n+4

From this explicit formula,

First term of the sequence will be,

a_1=(3^1)+4

a_1=7

Second term of the sequence,

a_2=(3^2)+4

a_2 = 13

3rd term of the sequence,

a_{3}=(3^3)+4

   = 31

Sequence formed,

7, 13, 31 ..........

From the given options,

Recursive formula,

a_n=3a_{n-1}-8

a_2=3(a_1)-8

a_2=3(7)-8

a_2=21-8 = 13

a_3=3a_2-8

a_3=3a_2-8

a_3=3(13)-8

    = 39 - 8

    = 31

Sequence formed from this recursive formula will be,

7, 13, 31........

Therefore, Option (3) will be the answer.

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