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7. For the following infinite series, find the first four terms of the sequence of partial sums. Then make a conjecture about the value of the infinite series or state that the series diverges. 0.6 + 0.06 + 0.006 + ... What are the first four terms of the sequence of partial sums? S, = S3 = SA = (Type integers or decimals rounded to four decimal places as needed.) 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 diverges.8. Consider the following infinite series. Complete parts (a) through (c). [ 90 (0.1) k K = 1 a. Find the first four partial sums S,, S2, S3, and S4- 9 S? = 9.9 S2 = 9.99 SA= 9.999 (Simplify your answer. Type integers or decimals.) b. Find a formula for the nth partial sum S, of the infinite series. S = (Use integers or fractions for any numbers in the expression.) Use the formula to find the next four partial sums S, So, Sy, and S of the infinite series. S5 = S6 = S7 = So = (Simplify your answer. Type integers or decimals.) 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 diverges