Question

Write the first four terms of the sequence defined by the formula. bⱼ= 7−j/7+j, for every integer j≥1.

b₁=
b₂=
b₃=
b₄=

Answer 1

To find the first four terms of the sequence, we substitute j values into bj = \frac{7 - j}{7 + j}. The first four terms are then calculated as b1 = \frac{3}{4}, b2 = \frac{5}{9}, b3 = \frac{2}{5}, and b4 = \frac{3}{11}.

Step-by-step explanation:

The first four terms of the sequence defined by the formula bj = \frac{7 - j}{7 + j}, for every integer j ≥ 1, can be found by substituting the values of j from 1 to 4 into the formula. To find the first four terms of the sequence, we substitute j values into bj = \frac{7 - j}{7 + j}. The first four terms are then calculated as b1 = \frac{3}{4}, b2 = \frac{5}{9}, b3 = \frac{2}{5}, and b4 = \frac{3}{11}.

• For j = 1: b1 = \frac{7 - 1}{7 + 1} = \frac{6}{8} = \frac{3}{4}
• For j = 2: b2 = \frac{7 - 2}{7 + 2} = \frac{5}{9}
• For j = 3: b3 = \frac{7 - 3}{7 + 3} = \frac{4}{10} = \frac{2}{5}
• For j = 4: b4 = \frac{7 - 4}{7 + 4} = \frac{3}{11}