Question

Write the first four nonzero terms for the series in order lm1/4?

Answer 1

To find the first four nonzero terms of the series An = L/n with L = 1/4 and n = 1, 3, 5, etc., the terms are 0.25, 0.0833, 0.05, and 0.0357 after rounding to four decimal places.

Step-by-step explanation:

To find the first four nonzero terms for the series given by An = L/n where L = 1/4 and n = 1, 3, 5, ..., we substitute the values of n into the formula.

1. For n = 1, A1 = 1/4 / 1 = 0.25.
2. For n = 3, A2 = 1/4 / 3 = 0.0833.
3. For n = 5, A3 = 1/4 / 5 = 0.05.
4. For n = 7, A4 = 1/4 / 7 = 0.0357.

Thus, the first four nonzero terms of the series are 0.25, 0.0833, 0.05, and 0.0357, rounded to four decimal places.