A(n) = a₁.(r)ⁿ⁻¹, where a₁ = 1st term, r= common ratio and n, the rank
In the formula given a₁ = 5, r = 3/2 and n = 6 (we have to find the 6th term value).
a₆ = 5.(3/2)⁶⁻¹ = 5.(3/2)⁵ = 1215/32 (answer C)
Answer:

Step-by-step explanation:
Cross multiply!
1. 1 / 6 * 11 / 12
2. 1*12 = 11*6
3. 12 = 66
4. 66/12
Decimal form: 5.5
Fraction form: 5 1/2
Improper Fraction: 11/2