Question

Write the first five terms of the below sequence.

t(1) = 5 and t(n) = 4t(n)
First Term =
Second Term =
Third Term =
Fourth Term =
Fifth Term =

Answer 1

To find the first five terms of the sequence, start with the first term given as 5 and multiply each term by 4 to determine the next one, resulting in the terms: 5, 20, 80, 320, and 1280.

Step-by-step explanation:

The question is about writing the first five terms of a given sequence where the first term is defined as 5, and each subsequent term is obtained by multiplying the previous term by 4. Therefore, the sequence can be generated as follows:

• First Term (t(1)): 5 (given)
• Second Term (t(2)): 4 × 5 = 20
• Third Term (t(3)): 4 × 20 = 80
• Fourth Term (t(4)): 4 × 80 = 320
• Fifth Term (t(5)): 4 × 320 = 1280

Using this method, you multiply each term by 4 to get the next term in the sequence.