Final answer:
To find the 5th term of the sequence (a(k))=7(3ⁿ), substitute 5 for k, resulting in 1701 as the 5th term following the exponent rule (x⁺)⁻ = xˣ.b.
Step-by-step explanation:
To write the indicated term of the given sequence (a(k))=7(3ⁿ), you need to substitute the value of k into the formula. Let's say you want to find the 5th term of the sequence (a(5)). You would compute 7(3⁵), which follows the rule of exponents that states (x⁺)⁻ = xˣ.b.
So for the 5th term, you would calculate as follows:
a(5) = 7 × (3× 3× 3× 3× 3)a(5) = 7 × 243a(5) = 1701
Therefore, the 5th term of the given sequence is 1701.