Consider the following infinite series. Complete parts (a) through (c). 00 5 Σ 16k-1 k=1 a. Find the first four partial sums S,, S2, S3, and S4 of the series. s, =O S2 =0 S3 =D S4 =0 (Type integers or simplified fractions.) b. Find a formula for the nth partial sum S, of the infinite series. Sn n21 Use the formula to find the next four partial sums S5, S6, S7, and Sg of the infinite series. S5 Se =| S7 =0 S8 (Type integers or simplified fractions.) c. Make a conjecture for the value of the series. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The value of the infinite series is (Type an integer or a simplified fraction.) O B. The infinite series has no value.

Find the sum of the following geometric series. 1+ 1/4 + 1/16 + 1/64 +...

Find the sum of the base-2 geometric series 0.1 subscript 2+0.01 subscript 2+0.001 subscript 2-0.0001 subscript 2+0.00001 subscript 2 give your answer as a fraction in which the numerator and denominator are both expressed in base 10.

Determine if the sum of this converging series using partial fractions