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svetlana [45]
3 years ago
13

A certain arithmetic sequence has this explicit formula for the nth term:

Mathematics
2 answers:
Margaret [11]3 years ago
6 0
The number 6 could replace the gap :)
Alex787 [66]3 years ago
5 0

Answer:

Answer is 6

Step-by-step explanation:

Given that there is an arithmetic sequence and has an explicit formula for the nth term as

a_n =13+(n-1)6\\

Since n can be any natural number, let us substitute n =1 to find the I term

a_1 = 13+(1-1)6=13

Let us find the 2nd term by substituting n=2

a_2 =13+(2-1)6=19

Common difference = d= a_2-a_1=19-13=6

Hence from I term a and common difference d, we find the any term can be obtained by adding 6 to the previous term

i.e. a_n=a_{(n-1) +6}

6 is the answer

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