The nth term of a sequence is given \(3^{1 - n}\), find the sum of the first three terms of the sequence.
A
\(\frac{13}{9}\)
B
1
C
\(\frac{1}{3}\)
D
\(\frac{1}{9}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Tn = \(3^{1 - n}\)
where n = 1, 2, 3.
\(S_3 = 3^{1 - 1} + 3^{1 - 2} + 3^{1 - 3}\)
= 1 + \(\frac{1}{3}\) + \(\frac{1}{9}\)
= \(\frac{13}{9}\)
Source: Myschool Past Questions Archive (Record #30817)