Question

Find at least 10 partial sums of the series. (Round your answers to five decimal places.) [infinity] 3 (−2)ⁿ n = 1

a) Series convergence
b) Sequences
c) Calculus
d) Real analysis

Answer 1

To find the partial sums of the given series, substitute the values of n into the expression. The series is defined as S_n = 3*(-2)^n, where n starts from 1.

Step-by-step explanation:

To find the partial sums of the given series, we substitute the values of n into the expression. The series is defined as Sn = 3*(-2)n, where n starts from 1.

1. S1 = 3*(-2)1 = -6
2. S2 = 3*(-2)2 = 12
3. S3 = 3*(-2)3 = -24
4. S4 = 3*(-2)4 = 48
5. S5 = 3*(-2)5 = -96
6. S6 = 3*(-2)6 = 192
7. S7 = 3*(-2)7 = -384
8. S8 = 3*(-2)8 = 768
9. S9 = 3*(-2)9 = -1536
10. S10 = 3*(-2)10 = 3072