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sattari [20]
3 years ago
11

Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6,...12,10,8,6,...12, comma, 10, comma, 8, comma, 6, comma,

point, point, point.
b(1)=b(1)=b, left parenthesis, 1, right parenthesis, equals

b(n)=b(n-1)+b(n)=b(n−1)+b, left parenthesis, n, right parenthesis, equals, b, left parenthesis, n, minus, 1, right parenthesis, plus
Mathematics
2 answers:
pogonyaev3 years ago
4 0

Complete Question:

Complete the recursive formula of the arithmetic sequence 12, 10, 8, 6, ....

b_1 = [\ ]

b_n = b_{n - 1} + [\ ]

Answer:

b_1 = 12

b_n = b_{n-1} - 2

Step-by-step explanation:

Required

Complete:

b_1 = [\ ]

b_n = b_{n - 1} + [\ ]

From the question, the first term is 12.

So:

b_1 = 12

Solving further:

b_2 = 10 = 12 - 2 = b_1 - 2

b_3 = 8 = 10 - 2 = b_2 - 2

b_4 = 6 = 8 - 2 = b_3 - 2

Following the above sequence:

b_n can then be calculated as

b_n = b_{n-1} - 2

iren [92.7K]3 years ago
4 0

Answer:

12

-2

Step-by-step explanation:

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