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kenny6666 [7]
4 years ago
8

Find the recursive formula of the arithmetic sequence 14,30,46,62

Mathematics
1 answer:
dexar [7]4 years ago
4 0

Answer:

a_n=a_{n-1}+16

Step-by-step explanation:

The given arithmetic sequence is

14,30,46,62

The first term of this sequence is

a_1=14

The common distance is obtained by subtracting a subsequent term from a previous term;

d=30-14

The common difference is

d=16

The recursive formula is given by:

a_n=a_{n-1}+d

We now plug in the known value for the common difference to get;

a_n=a_{n-1}+16

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