Question

For the convergent geometric sequence b 1, b2−1, 1, ... find the value of b . give your answer as a decimal correct to 3 s.f.

Answer 1

The value of b in the given convergent geometric sequence is 1.

Step-by-step explanation:

The given sequence is a convergent geometric sequence with the first term as b1 = b and the common ratio as r = b2-1 / b1.

To find the value of b, we can use the property of a convergent geometric sequence where the absolute value of the common ratio, |r|, is less than 1.

Since the common ratio is given as 1, we can see that |1| < 1, which satisfies the condition for convergence. Therefore, the value of b is 1 as a convergent geometric sequence with r = 1.