Astatement sn about the positive integers is given. write statements s1, s2, and s3, and show that each of these statements is true. show your work. sn: 2 + 5 + 8 + . . + ( 3n - 1) = n(1 + 3n)/2

S1: 2

S2:7

S3: 15

Step-by-step explanation:

Sn: 2 + 5 + 8 + . . . + ( 3n - 1) = n(1 + 3n)/2

S1: Put n = 1

S2: Put n = 2

S3: Put n = 3

\frac{n (1 + 3n)}{2}\\= \frac{3 (1 + 3(3))}{2}\\= \frac{3 (1 + 9)}{2}\\= \frac{3 (10)}{2}\\= \frac{30}{2}\\= 15[/tex]

How these are true:

S1: 2

S2: 2+ 5 = 7 (Sum of first two terms

S3: 2+5+8 = 15 (Sum of first three terms)

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step-by-step explanation: